45750564 has 18 divisors (see below), whose sum is σ = 115647350. Its totient is φ = 15250176.

The previous prime is 45750563. The next prime is 45750569. The reversal of 45750564 is 46505754.

It is a happy number.

45750564 is a `hidden beast` number, since 45 + 7 + 50 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43164900 + 2585664 = 6570^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×45750564² = 4186228212636192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1270849 = 45750564 / (4 + 5 + 7 + 5 + 0 + 5 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (45750563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 635389 + ... + 635460.

Almost surely, 2^45750564 is an apocalyptic number.

It is an amenable number.

45750564 is an abundant number, since it is smaller than the sum of its proper divisors (69896786).

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

45750564 is a wasteful number, since it uses less digits than its factorization.

45750564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270859 (or 1270854 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 45750564 is about 6763.9163211855. The cubic root of 45750564 is about 357.6559744519.

The spelling of 45750564 in words is "forty-five million, seven hundred fifty thousand, five hundred sixty-four".