45674672956416 has 891 divisors, whose sum is σ = 156545212032651. Its totient is φ = 12789090091008.

The previous prime is 45674672956387. The next prime is 45674672956433. The reversal of 45674672956416 is 61465927647654.

The square root of 45674672956416 is 6758304.

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

45674672956416 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 46 + 7 + 2 + 9 + 564 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31674384000000 + 14000288956416 = 5628000^2 + 3741696^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 404200645576 + ... + 404200645688.

Almost surely, 2^{45674672956416} is an apocalyptic number.

45674672956416 is the 6758304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45674672956416

45674672956416 is an abundant number, since it is smaller than the sum of its proper divisors (110870539076235).

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

45674672956416 is an equidigital number, since it uses as much as digits as its factorization.

45674672956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 214 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 45674672956416 in words is "forty-five trillion, six hundred seventy-four billion, six hundred seventy-two million, nine hundred fifty-six thousand, four hundred sixteen".