123791076864 has 960 divisors, whose sum is σ = 463290347520. Its totient is φ = 30948065280.

The previous prime is 123791076863. The next prime is 123791076907. The reversal of 123791076864 is 468670197321.

It is a super-2 number, since 2×123791076864² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123791076864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123791076863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1156925899 + ... + 1156926005.

It is an arithmetic number, because the mean of its divisors is an integer number (482594112).

Almost surely, 2^123791076864 is an apocalyptic number.

123791076864 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 123791076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231645173760).

123791076864 is an abundant number, since it is smaller than the sum of its proper divisors (339499270656).

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

123791076864 is a wasteful number, since it uses less digits than its factorization.

123791076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 123791076864 in words is "one hundred twenty-three billion, seven hundred ninety-one million, seventy-six thousand, eight hundred sixty-four".