172514407256676 has 81 divisors (see below), whose sum is σ = 452832897089209. Its totient is φ = 57504093157296.

The previous prime is 172514407256663. The next prime is 172514407256677. The reversal of 172514407256676 is 676652704415271.

The square root of 172514407256676 is 13134474.

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

172514407256676 is a `hidden beast` number, since 1 + 7 + 2 + 5 + 1 + 440 + 72 + 56 + 6 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154974862232100 + 17539545024576 = 12448890^2 + 4188024^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×172514407256676² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172514407256677) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2127744250 + ... + 2127825326.

Almost surely, 2^{172514407256676} is an apocalyptic number.

172514407256676 is the 13134474-th square number.

It is an amenable number.

172514407256676 is an abundant number, since it is smaller than the sum of its proper divisors (280318489832533).

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

172514407256676 is an frugal number, since it uses more digits than its factorization.

172514407256676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162182 (or 81082 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 172514407256676 in words is "one hundred seventy-two trillion, five hundred fourteen billion, four hundred seven million, two hundred fifty-six thousand, six hundred seventy-six".