431790923664 has 75 divisors (see below), whose sum is σ = 1249796676513. Its totient is φ = 143922422592.

The previous prime is 431790923657. The next prime is 431790923671. The reversal of 431790923664 is 466329097134.

It is a happy number.

The square root of 431790923664 is 657108.

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

431790923664 is a `hidden beast` number, since 4 + 317 + 90 + 9 + 236 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (431790923657) and next prime (431790923671).

It can be written as a sum of positive squares in only one way, i.e., 1181984400 + 430608939264 = 34380^2 + 656208^2 .

It is a super-2 number, since 2×431790923664² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 431790923664.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 23646762 + ... + 23665014.

Almost surely, 2^431790923664 is an apocalyptic number.

431790923664 is the 657108-th square number.

It is an amenable number.

431790923664 is an abundant number, since it is smaller than the sum of its proper divisors (818005752849).

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

431790923664 is an frugal number, since it uses more digits than its factorization.

431790923664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36526 (or 18258 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 431790923664 in words is "four hundred thirty-one billion, seven hundred ninety million, nine hundred twenty-three thousand, six hundred sixty-four".