45052051968 has 1080 divisors, whose sum is σ = 177845984316. Its totient is φ = 10899947520.

The previous prime is 45052051963. The next prime is 45052051973. The reversal of 45052051968 is 86915025054.

45052051968 is a `hidden beast` number, since 4 + 50 + 5 + 20 + 519 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (45052051963) and next prime (45052051973).

It can be written as a sum of positive squares in 2 ways, for example, as 44382691584 + 669360384 = 210672^2 + 25872^2 .

It is not an unprimeable number, because it can be changed into a prime (45052051963) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 464454096 + ... + 464454192.

Almost surely, 2^45052051968 is an apocalyptic number.

45052051968 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 45052051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88922992158).

45052051968 is an abundant number, since it is smaller than the sum of its proper divisors (132793932348).

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

45052051968 is a wasteful number, since it uses less digits than its factorization.

45052051968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 45052051968 in words is "forty-five billion, fifty-two million, fifty-one thousand, nine hundred sixty-eight".