123563616131040 has 48 divisors (see below), whose sum is σ = 389225390814288. Its totient is φ = 32950297634816.

The previous prime is 123563616130993. The next prime is 123563616131057. The reversal of 123563616131040 is 40131616365321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 123563616130983 and 123563616131001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128712099657 + ... + 128712100616.

It is an arithmetic number, because the mean of its divisors is an integer number (8108862308631).

Almost surely, 2^{123563616131040} is an apocalyptic number.

123563616131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123563616131040 is an abundant number, since it is smaller than the sum of its proper divisors (265661774683248).

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

123563616131040 is a wasteful number, since it uses less digits than its factorization.

123563616131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257424200291 (or 257424200283 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 123563616131040 in words is "one hundred twenty-three trillion, five hundred sixty-three billion, six hundred sixteen million, one hundred thirty-one thousand, forty".