45328113216 has 105 divisors (see below), whose sum is σ = 134412183169. Its totient is φ = 15104261376.

The previous prime is 45328113209. The next prime is 45328113241. The reversal of 45328113216 is 61231182354.

The square root of 45328113216 is 212904.

It is a perfect power (a square), and thus also a powerful number.

45328113216 is a `hidden beast` number, since 4 + 5 + 328 + 1 + 1 + 321 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8427240000 + 36900873216 = 91800^2 + 192096^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15327610 + ... + 15330566.

Almost surely, 2^45328113216 is an apocalyptic number.

45328113216 is the 212904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45328113216

45328113216 is an abundant number, since it is smaller than the sum of its proper divisors (89084069953).

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

45328113216 is an frugal number, since it uses more digits than its factorization.

45328113216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 2962 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Multiplying 45328113216 by its sum of digits (36), we get a square (1631812075776 = 1277424²).

45328113216 divided by its sum of digits (36) gives a square (1259114256 = 35484²).

The spelling of 45328113216 in words is "forty-five billion, three hundred twenty-eight million, one hundred thirteen thousand, two hundred sixteen".