123791517368064 has 1152 divisors, whose sum is σ = 470572529172480. Its totient is φ = 31200160628736.

The previous prime is 123791517368063. The next prime is 123791517368117. The reversal of 123791517368064 is 460863715197321.

123791517368064 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 9 + 1 + 517 + 36 + 80 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 123791517367992 and 123791517368010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123791517368063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18908125239 + ... + 18908131785.

It is an arithmetic number, because the mean of its divisors is an integer number (408483098240).

It is a 1-persistent number, because it is pandigital, but 2⋅123791517368064 = 247583034736128 is not.

Almost surely, 2^{123791517368064} is an apocalyptic number.

123791517368064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123791517368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235286264586240).

123791517368064 is an abundant number, since it is smaller than the sum of its proper divisors (346781011804416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123791517368064 is a wasteful number, since it uses less digits than its factorization.

123791517368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922 (or 7902 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 123791517368064 in words is "one hundred twenty-three trillion, seven hundred ninety-one billion, five hundred seventeen million, three hundred sixty-eight thousand, sixty-four".