45529965600 has 144 divisors (see below), whose sum is σ = 169371534528. Its totient is φ = 10406845440.

The previous prime is 45529965581. The next prime is 45529965683. The reversal of 45529965600 is 656992554.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338259 + ... + 1371858.

It is an arithmetic number, because the mean of its divisors is an integer number (1176191212).

Almost surely, 2^45529965600 is an apocalyptic number.

45529965600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45529965600 is an abundant number, since it is smaller than the sum of its proper divisors (123841568928).

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

45529965600 is a wasteful number, since it uses less digits than its factorization.

45529965600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710147 (or 2710134 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 45529965600 in words is "forty-five billion, five hundred twenty-nine million, nine hundred sixty-five thousand, six hundred".