45633045960 has 96 divisors (see below), whose sum is σ = 149010526080. Its totient is φ = 12111120000.

The previous prime is 45633045881. The next prime is 45633045967. The reversal of 45633045960 is 6954033654.

45633045960 is a `hidden beast` number, since 4 + 5 + 633 + 0 + 4 + 5 + 9 + 6 + 0 = 666.

45633045960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45633045967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224416 + ... + 376335.

It is an arithmetic number, because the mean of its divisors is an integer number (1552192980).

Almost surely, 2^45633045960 is an apocalyptic number.

45633045960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45633045960 is an abundant number, since it is smaller than the sum of its proper divisors (103377480120).

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

45633045960 is a wasteful number, since it uses less digits than its factorization.

45633045960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600979 (or 600972 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 45633045960 in words is "forty-five billion, six hundred thirty-three million, forty-five thousand, nine hundred sixty".