123496583962752 has 3072 divisors, whose sum is σ = 511516015718400. Its totient is φ = 28561086259200.

The previous prime is 123496583962669. The next prime is 123496583962769. The reversal of 123496583962752 is 257269385694321.

123496583962752 is a `hidden beast` number, since 1 + 2 + 3 + 496 + 5 + 8 + 3 + 9 + 62 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 402269002983 + ... + 402269003289.

It is an arithmetic number, because the mean of its divisors is an integer number (166509119700).

Almost surely, 2^{123496583962752} is an apocalyptic number.

123496583962752 is a gapful number since it is divisible by the number (12) 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 123496583962752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255758007859200).

123496583962752 is an abundant number, since it is smaller than the sum of its proper divisors (388019431755648).

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

123496583962752 is a wasteful number, since it uses less digits than its factorization.

123496583962752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 374 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 123496583962752 in words is "one hundred twenty-three trillion, four hundred ninety-six billion, five hundred eighty-three million, nine hundred sixty-two thousand, seven hundred fifty-two".