123718494256560 has 960 divisors, whose sum is σ = 515347335659520. Its totient is φ = 25950336122880.

The previous prime is 123718494256549. The next prime is 123718494256561. The reversal of 123718494256560 is 65652494817321.

It is a happy number.

123718494256560 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 1 + 8 + 4 + 9 + 4 + 2 + 565 + 60 = 666.

It is a super-2 number, since 2×123718494256560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (123718494256561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6403970581 + ... + 6403989899.

It is an arithmetic number, because the mean of its divisors is an integer number (536820141312).

It is a 3-persistent number, because k⋅123718494256560 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{123718494256560} is an apocalyptic number.

123718494256560 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 123718494256560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257673667829760).

123718494256560 is an abundant number, since it is smaller than the sum of its proper divisors (391628841402960).

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

123718494256560 is a wasteful number, since it uses less digits than its factorization.

123718494256560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21226 (or 21217 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 123718494256560 in words is "one hundred twenty-three trillion, seven hundred eighteen billion, four hundred ninety-four million, two hundred fifty-six thousand, five hundred sixty".