45690993864 has 80 divisors (see below), whose sum is σ = 128022295500. Its totient is φ = 15224951808.

The previous prime is 45690993839. The next prime is 45690993889. The reversal of 45690993864 is 46839909654.

45690993864 is a `hidden beast` number, since 4 + 569 + 0 + 9 + 9 + 3 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (45690993839) and next prime (45690993889).

It can be written as a sum of positive squares in 2 ways, for example, as 44877032964 + 813960900 = 211842^2 + 28530^2 .

It is a super-3 number, since 3×45690993864³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2099712 + ... + 2121360.

Almost surely, 2^45690993864 is an apocalyptic number.

It is an amenable number.

45690993864 is an abundant number, since it is smaller than the sum of its proper divisors (82331301636).

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

45690993864 is a wasteful number, since it uses less digits than its factorization.

45690993864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24924 (or 24911 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 45690993864 in words is "forty-five billion, six hundred ninety million, nine hundred ninety-three thousand, eight hundred sixty-four".