123567768138816 has 567 divisors, whose sum is σ = 373195953287703. Its totient is φ = 39089557393920.

The previous prime is 123567768138757. The next prime is 123567768138817. The reversal of 123567768138816 is 618831867765321.

The square root of 123567768138816 is 11116104.

It is a perfect power (a square), and thus also a powerful number.

123567768138816 is a `hidden beast` number, since 1 + 2 + 35 + 67 + 76 + 81 + 388 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (123567768138817) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 554115552081 + ... + 554115552303.

Almost surely, 2^{123567768138816} is an apocalyptic number.

123567768138816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123567768138816 is the 11116104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123567768138816

123567768138816 is an abundant number, since it is smaller than the sum of its proper divisors (249628185148887).

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

123567768138816 is an frugal number, since it uses more digits than its factorization.

123567768138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 326 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 123567768138816 in words is "one hundred twenty-three trillion, five hundred sixty-seven billion, seven hundred sixty-eight million, one hundred thirty-eight thousand, eight hundred sixteen".