123701108259456 has 2048 divisors, whose sum is σ = 481178880000000. Its totient is φ = 30359000973312.

The previous prime is 123701108259431. The next prime is 123701108259523. The reversal of 123701108259456 is 654952801107321.

123701108259456 is a `hidden beast` number, since 1 + 2 + 3 + 70 + 110 + 8 + 2 + 5 + 9 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 247898012295 + ... + 247898012793.

It is an arithmetic number, because the mean of its divisors is an integer number (234950625000).

It is a 1-persistent number, because it is pandigital, but 2⋅123701108259456 = 247402216518912 is not.

Almost surely, 2^{123701108259456} is an apocalyptic number.

123701108259456 is a gapful number since it is divisible by the number (16) 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 123701108259456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440000000).

123701108259456 is an abundant number, since it is smaller than the sum of its proper divisors (357477771740544).

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

123701108259456 is a wasteful number, since it uses less digits than its factorization.

123701108259456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 123701108259456 in words is "one hundred twenty-three trillion, seven hundred one billion, one hundred eight million, two hundred fifty-nine thousand, four hundred fifty-six".