123311069648928 has 768 divisors, whose sum is σ = 457521426432000. Its totient is φ = 31512880742400.

The previous prime is 123311069648903. The next prime is 123311069648929. The reversal of 123311069648928 is 829846960113321.

123311069648928 is a `hidden beast` number, since 1 + 2 + 3 + 31 + 10 + 6 + 96 + 489 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (123311069648929) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145631008 + ... + 146475296.

It is an arithmetic number, because the mean of its divisors is an integer number (595731024000).

Almost surely, 2^{123311069648928} is an apocalyptic number.

123311069648928 is a gapful number since it is divisible by the number (18) 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 123311069648928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228760713216000).

123311069648928 is an abundant number, since it is smaller than the sum of its proper divisors (334210356783072).

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

123311069648928 is a wasteful number, since it uses less digits than its factorization.

123311069648928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844406 (or 844392 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 123311069648928 in words is "one hundred twenty-three trillion, three hundred eleven billion, sixty-nine million, six hundred forty-eight thousand, nine hundred twenty-eight".