972566771344 has 45 divisors (see below), whose sum is σ = 2192059029321. Its totient is φ = 416802496320.

The previous prime is 972566771339. The next prime is 972566771347. The reversal of 972566771344 is 443177665279.

The square root of 972566771344 is 986188.

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., 904758611344 + 67808160000 = 951188^2 + 260400^2 .

It is a super-2 number, since 2×972566771344² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (972566771347) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27595654 + ... + 27630874.

Almost surely, 2^972566771344 is an apocalyptic number.

972566771344 is the 986188-th square number.

It is an amenable number.

972566771344 is an abundant number, since it is smaller than the sum of its proper divisors (1219492257977).

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

972566771344 is an frugal number, since it uses more digits than its factorization.

972566771344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70464 (or 35230 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 61.

The spelling of 972566771344 in words is "nine hundred seventy-two billion, five hundred sixty-six million, seven hundred seventy-one thousand, three hundred forty-four".