45577328832 has 252 divisors, whose sum is σ = 157599110760. Its totient is φ = 13021876224.

The previous prime is 45577328821. The next prime is 45577328833. The reversal of 45577328832 is 23882377554.

45577328832 is a `hidden beast` number, since 4 + 5 + 577 + 32 + 8 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (45577328833) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 732144 + ... + 791952.

Almost surely, 2^45577328832 is an apocalyptic number.

45577328832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45577328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78799555380).

45577328832 is an abundant number, since it is smaller than the sum of its proper divisors (112021781928).

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

45577328832 is an equidigital number, since it uses as much as digits as its factorization.

45577328832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59850 (or 59821 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 45577328832 in words is "forty-five billion, five hundred seventy-seven million, three hundred twenty-eight thousand, eight hundred thirty-two".