45121995936 has 144 divisors (see below), whose sum is σ = 133302693888. Its totient is φ = 14462323200.

The previous prime is 45121995923. The next prime is 45121995973. The reversal of 45121995936 is 63959912154.

45121995936 is a `hidden beast` number, since 4 + 512 + 1 + 9 + 95 + 9 + 36 = 666.

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

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, 1385601 + ... + 1417791.

It is an arithmetic number, because the mean of its divisors is an integer number (925713152).

Almost surely, 2^45121995936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45121995936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66651346944).

45121995936 is an abundant number, since it is smaller than the sum of its proper divisors (88180697952).

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

45121995936 is a wasteful number, since it uses less digits than its factorization.

45121995936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32395 (or 32384 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The spelling of 45121995936 in words is "forty-five billion, one hundred twenty-one million, nine hundred ninety-five thousand, nine hundred thirty-six".