45648084864 has 64 divisors (see below), whose sum is σ = 121596578640. Its totient is φ = 15172878336.

The previous prime is 45648084847. The next prime is 45648084887. The reversal of 45648084864 is 46848084654.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32827 + ... + 303930.

Almost surely, 2^45648084864 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 45648084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60798289320).

45648084864 is an abundant number, since it is smaller than the sum of its proper divisors (75948493776).

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

45648084864 is a wasteful number, since it uses less digits than its factorization.

45648084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337127 (or 337115 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 57.

The spelling of 45648084864 in words is "forty-five billion, six hundred forty-eight million, eighty-four thousand, eight hundred sixty-four".