45601457328 has 160 divisors (see below), whose sum is σ = 149727083520. Its totient is φ = 13017231360.

The previous prime is 45601457327. The next prime is 45601457381. The reversal of 45601457328 is 82375410654.

45601457328 is a `hidden beast` number, since 4 + 5 + 60 + 14 + 573 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (45601457327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3674013 + ... + 3686403.

It is an arithmetic number, because the mean of its divisors is an integer number (935794272).

Almost surely, 2^45601457328 is an apocalyptic number.

45601457328 is a gapful number since it is divisible by the number (48) 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 45601457328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74863541760).

45601457328 is an abundant number, since it is smaller than the sum of its proper divisors (104125626192).

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

45601457328 is a wasteful number, since it uses less digits than its factorization.

45601457328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13632 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 45601457328 in words is "forty-five billion, six hundred one million, four hundred fifty-seven thousand, three hundred twenty-eight".