45027142416 has 45 divisors (see below), whose sum is σ = 126020587719. Its totient is φ = 15008198688.

The previous prime is 45027142411. The next prime is 45027142417. The reversal of 45027142416 is 61424172054.

The square root of 45027142416 is 212196.

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

45027142416 is a `hidden beast` number, since 4 + 502 + 7 + 142 + 4 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45027142411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2537511 + ... + 2555193.

Almost surely, 2^45027142416 is an apocalyptic number.

45027142416 is the 212196-th square number.

It is an amenable number.

45027142416 is an abundant number, since it is smaller than the sum of its proper divisors (80993445303).

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

45027142416 is an frugal number, since it uses more digits than its factorization.

45027142416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35380 (or 17688 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 45027142416 by its sum of digits (36), we get a square (1620977126976 = 1273176²).

45027142416 divided by its sum of digits (36) gives a square (1250753956 = 35366²).

The spelling of 45027142416 in words is "forty-five billion, twenty-seven million, one hundred forty-two thousand, four hundred sixteen".