45593894304 has 480 divisors, whose sum is σ = 159928344576. Its totient is φ = 12468349440.

The previous prime is 45593894263. The next prime is 45593894393. The reversal of 45593894304 is 40349839554.

45593894304 is a `hidden beast` number, since 4 + 5 + 593 + 8 + 9 + 43 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57933399 + ... + 57934185.

Almost surely, 2^45593894304 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 45593894304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79964172288).

45593894304 is an abundant number, since it is smaller than the sum of its proper divisors (114334450272).

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

45593894304 is a wasteful number, since it uses less digits than its factorization.

45593894304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 45593894304 in words is "forty-five billion, five hundred ninety-three million, eight hundred ninety-four thousand, three hundred four".