45546520320 has 1008 divisors, whose sum is σ = 197315005440. Its totient is φ = 9835831296.

The previous prime is 45546520303. The next prime is 45546520333. The reversal of 45546520320 is 2302564554.

45546520320 is a `hidden beast` number, since 4 + 554 + 65 + 20 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 124104777 + ... + 124105143.

Almost surely, 2^45546520320 is an apocalyptic number.

45546520320 is a gapful number since it is divisible by the number (40) 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 45546520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98657502720).

45546520320 is an abundant number, since it is smaller than the sum of its proper divisors (151768485120).

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

45546520320 is an equidigital number, since it uses as much as digits as its factorization.

45546520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 45546520320 in words is "forty-five billion, five hundred forty-six million, five hundred twenty thousand, three hundred twenty".