45753859584 has 320 divisors, whose sum is σ = 141935112000. Its totient is φ = 14714929152.

The previous prime is 45753859579. The next prime is 45753859603. The reversal of 45753859584 is 48595835754.

45753859584 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 38 + 595 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32471872 + ... + 32473280.

It is an arithmetic number, because the mean of its divisors is an integer number (443547225).

Almost surely, 2^45753859584 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 45753859584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70967556000).

45753859584 is an abundant number, since it is smaller than the sum of its proper divisors (96181252416).

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

45753859584 is an frugal number, since it uses more digits than its factorization.

45753859584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1443 counting only the distinct ones).

The product of its digits is 120960000, while the sum is 63.

The spelling of 45753859584 in words is "forty-five billion, seven hundred fifty-three million, eight hundred fifty-nine thousand, five hundred eighty-four".