472355172961 has 27 divisors (see below), whose sum is σ = 561682949139. Its totient is φ = 396071792928.

The previous prime is 472355172943. The next prime is 472355172967. The reversal of 472355172961 is 169271553274.

The square root of 472355172961 is 687281.

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

It can be written as a sum of positive squares in only one way, i.e., 416243038561 + 56112134400 = 645169^2 + 236880^2 .

It is not a de Polignac number, because 472355172961 - 2⁵ = 472355172929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 472355172899 and 472355172908.

It is not an unprimeable number, because it can be changed into a prime (472355172967) 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, 226114405 + ... + 226116493.

Almost surely, 2^472355172961 is an apocalyptic number.

472355172961 is the 687281-st square number.

472355172961 is the 343641-st centered octagonal number.

It is an amenable number.

472355172961 is a deficient number, since it is larger than the sum of its proper divisors (89327776178).

472355172961 is an frugal number, since it uses more digits than its factorization.

472355172961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 2143 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 52.

The spelling of 472355172961 in words is "four hundred seventy-two billion, three hundred fifty-five million, one hundred seventy-two thousand, nine hundred sixty-one".