123303457515681 has 27 divisors (see below), whose sum is σ = 184947138679251. Its totient is φ = 82201705383168.

The previous prime is 123303457515653. The next prime is 123303457515683. The reversal of 123303457515681 is 186515754303321.

The square root of 123303457515681 is 11104209.

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

123303457515681 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 3 + 4 + 5 + 75 + 1 + 568 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12081123075681 + 111222334440000 = 3475791^2 + 10546200^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 123303457515681 - 2¹⁵ = 123303457482913 is a prime.

It is a super-2 number, since 2×123303457515681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123303457515683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 899372385 + ... + 899509473.

Almost surely, 2^{123303457515681} is an apocalyptic number.

123303457515681 is the 11104209-th square number.

123303457515681 is the 5552105-th centered octagonal number.

It is an amenable number.

123303457515681 is a deficient number, since it is larger than the sum of its proper divisors (61643681163570).

123303457515681 is an frugal number, since it uses more digits than its factorization.

123303457515681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274202 (or 137092 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 123303457515681 in words is "one hundred twenty-three trillion, three hundred three billion, four hundred fifty-seven million, five hundred fifteen thousand, six hundred eighty-one".