45141801156 has 81 divisors (see below), whose sum is σ = 121273762701. Its totient is φ = 14155334784.

The previous prime is 45141801127. The next prime is 45141801167. The reversal of 45141801156 is 65110814154.

The square root of 45141801156 is 212466.

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

45141801156 is a `hidden beast` number, since 4 + 514 + 1 + 80 + 11 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35145000900 + 9996800256 = 187470^2 + 99984^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 45141801156.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21670491 + ... + 21672573.

Almost surely, 2^45141801156 is an apocalyptic number.

45141801156 is the 212466-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45141801156

45141801156 is an abundant number, since it is smaller than the sum of its proper divisors (76131961545).

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

45141801156 is a wasteful number, since it uses less digits than its factorization.

45141801156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Multiplying 45141801156 by its sum of digits (36), we get a square (1625104841616 = 1274796²).

45141801156 divided by its sum of digits (36) gives a square (1253938921 = 35411²).

The spelling of 45141801156 in words is "forty-five billion, one hundred forty-one million, eight hundred one thousand, one hundred fifty-six".