45533028960 has 144 divisors (see below), whose sum is σ = 161136467856. Its totient is φ = 12142130688.

The previous prime is 45533028899. The next prime is 45533028977. The reversal of 45533028960 is 6982033554.

45533028960 is a `hidden beast` number, since 4 + 5 + 533 + 0 + 28 + 96 + 0 = 666.

45533028960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546679 + ... + 624438.

It is an arithmetic number, because the mean of its divisors is an integer number (1119003249).

Almost surely, 2^45533028960 is an apocalyptic number.

45533028960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45533028960 is an abundant number, since it is smaller than the sum of its proper divisors (115603438896).

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

45533028960 is a wasteful number, since it uses less digits than its factorization.

45533028960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171147 (or 1171127 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 45533028960 in words is "forty-five billion, five hundred thirty-three million, twenty-eight thousand, nine hundred sixty".