123853032059904 has 1408 divisors, whose sum is σ = 451774359429120. Its totient is φ = 32713389637632.

The previous prime is 123853032059881. The next prime is 123853032059941. The reversal of 123853032059904 is 409950230358321.

123853032059904 is a `hidden beast` number, since 1 + 2 + 38 + 530 + 3 + 20 + 59 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×123853032059904² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110880063954 + ... + 110880065070.

Almost surely, 2^{123853032059904} is an apocalyptic number.

123853032059904 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 123853032059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225887179714560).

123853032059904 is an abundant number, since it is smaller than the sum of its proper divisors (327921327369216).

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

123853032059904 is a wasteful number, since it uses less digits than its factorization.

123853032059904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 123853032059904 in words is "one hundred twenty-three trillion, eight hundred fifty-three billion, thirty-two million, fifty-nine thousand, nine hundred four".