123531311064096 has 576 divisors, whose sum is σ = 387008210534400. Its totient is φ = 37147943319552.

The previous prime is 123531311064071. The next prime is 123531311064097. The reversal of 123531311064096 is 690460113135321.

123531311064096 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 3 + 131 + 106 + 409 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (123531311064097) 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, 11806485361 + ... + 11806495823.

It is an arithmetic number, because the mean of its divisors is an integer number (671889254400).

Almost surely, 2^{123531311064096} is an apocalyptic number.

123531311064096 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 123531311064096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193504105267200).

123531311064096 is an abundant number, since it is smaller than the sum of its proper divisors (263476899470304).

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

123531311064096 is a wasteful number, since it uses less digits than its factorization.

123531311064096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10973 (or 10962 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 123531311064096 in words is "one hundred twenty-three trillion, five hundred thirty-one billion, three hundred eleven million, sixty-four thousand, ninety-six".