45775415304864 has 96 divisors (see below), whose sum is σ = 152584717703040. Its totient is φ = 13078690085376.

The previous prime is 45775415304863. The next prime is 45775415304881. The reversal of 45775415304864 is 46840351457754.

45775415304864 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 54 + 1 + 530 + 48 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45775415304863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3784337149 + ... + 3784349244.

It is an arithmetic number, because the mean of its divisors is an integer number (1589424142740).

Almost surely, 2^{45775415304864} is an apocalyptic number.

It is an amenable number.

45775415304864 is an abundant number, since it is smaller than the sum of its proper divisors (106809302398176).

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

45775415304864 is a wasteful number, since it uses less digits than its factorization.

45775415304864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568686419 (or 7568686405 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 63.

The spelling of 45775415304864 in words is "forty-five trillion, seven hundred seventy-five billion, four hundred fifteen million, three hundred four thousand, eight hundred sixty-four".