123780504956264 has 128 divisors (see below), whose sum is σ = 259264315931040. Its totient is φ = 55030527885312.

The previous prime is 123780504956263. The next prime is 123780504956279. The reversal of 123780504956264 is 462659405087321.

It can be written as a sum of positive squares in 16 ways, for example, as 417499484164 + 123363005472100 = 646142^2 + 11106890^2 .

It is a super-2 number, since 2×123780504956264² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123780504956197 and 123780504956206.

It is not an unprimeable number, because it can be changed into a prime (123780504956263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381178352 + ... + 381502944.

It is a 1-persistent number, because it is pandigital, but 2⋅123780504956264 = 247561009912528 is not.

Almost surely, 2^{123780504956264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123780504956264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129632157965520).

123780504956264 is an abundant number, since it is smaller than the sum of its proper divisors (135483810974776).

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

123780504956264 is a wasteful number, since it uses less digits than its factorization.

123780504956264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325639 (or 325635 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 62.

The spelling of 123780504956264 in words is "one hundred twenty-three trillion, seven hundred eighty billion, five hundred four million, nine hundred fifty-six thousand, two hundred sixty-four".