123534610161600 has 672 divisors, whose sum is σ = 448217812224000. Its totient is φ = 29538547200000.

The previous prime is 123534610161563. The next prime is 123534610161601. The reversal of 123534610161600 is 6161016435321.

It is a super-2 number, since 2×123534610161600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123534610161601) 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, 1364993151 + ... + 1365083649.

It is an arithmetic number, because the mean of its divisors is an integer number (666990792000).

Almost surely, 2^{123534610161600} is an apocalyptic number.

123534610161600 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 123534610161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224108906112000).

123534610161600 is an abundant number, since it is smaller than the sum of its proper divisors (324683202062400).

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

123534610161600 is a wasteful number, since it uses less digits than its factorization.

123534610161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90889 (or 90874 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

Adding to 123534610161600 its reverse (6161016435321), we get a palindrome (129695626596921).

The spelling of 123534610161600 in words is "one hundred twenty-three trillion, five hundred thirty-four billion, six hundred ten million, one hundred sixty-one thousand, six hundred".