123391864632960 has 3072 divisors, whose sum is σ = 564871644518400. Its totient is φ = 25167545303040.

The previous prime is 123391864632947. The next prime is 123391864633091. The reversal of 123391864632960 is 69236468193321.

123391864632960 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 9 + 1 + 86 + 463 + 2 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 235930907259 + ... + 235930907781.

It is an arithmetic number, because the mean of its divisors is an integer number (183877488450).

Almost surely, 2^{123391864632960} is an apocalyptic number.

123391864632960 is a gapful number since it is divisible by the number (10) 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 123391864632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282435822259200).

123391864632960 is an abundant number, since it is smaller than the sum of its proper divisors (441479779885440).

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

123391864632960 is a wasteful number, since it uses less digits than its factorization.

123391864632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 123391864632960 in words is "one hundred twenty-three trillion, three hundred ninety-one billion, eight hundred sixty-four million, six hundred thirty-two thousand, nine hundred sixty".