945288367997904 has 90 divisors (see below), whose sum is σ = 3077412004172610. Its totient is φ = 270082390854528.

The previous prime is 945288367997899. The next prime is 945288367997977. The reversal of 945288367997904 is 409799763882549.

It is a happy number.

945288367997904 is a `hidden beast` number, since 9 + 4 + 528 + 8 + 3 + 6 + 7 + 9 + 9 + 79 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 822163867560000 + 123124500437904 = 28673400^2 + 11096148^2 .

It is a super-2 number, since 2×945288367997904² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66984712899 + ... + 66984727010.

It is an arithmetic number, because the mean of its divisors is an integer number (34193466713029).

Almost surely, 2^{945288367997904} is an apocalyptic number.

It is an amenable number.

945288367997904 is an abundant number, since it is smaller than the sum of its proper divisors (2132123636174706).

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

945288367997904 is a wasteful number, since it uses less digits than its factorization.

945288367997904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133969439937 (or 133969439921 counting only the distinct ones).

The product of its (nonzero) digits is 59256852480, while the sum is 90.

The spelling of 945288367997904 in words is "nine hundred forty-five trillion, two hundred eighty-eight billion, three hundred sixty-seven million, nine hundred ninety-seven thousand, nine hundred four".