45888755967376 has 135 divisors (see below), whose sum is σ = 104397424524003. Its totient is φ = 19483464483840.

The previous prime is 45888755967323. The next prime is 45888755967407. The reversal of 45888755967376 is 67376955788854.

The square root of 45888755967376 is 6774124.

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

It can be written as a sum of positive squares in 4 ways, for example, as 318479635600 + 45570276331776 = 564340^2 + 6750576^2 .

It is a Duffinian number.

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, 21433327266 + ... + 21433329406.

Almost surely, 2^{45888755967376} is an apocalyptic number.

45888755967376 is the 6774124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45888755967376

45888755967376 is an abundant number, since it is smaller than the sum of its proper divisors (58508668556627).

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

45888755967376 is an frugal number, since it uses more digits than its factorization.

45888755967376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 2263 counting only the distinct ones).

The product of its digits is 85349376000, while the sum is 88.

The spelling of 45888755967376 in words is "forty-five trillion, eight hundred eighty-eight billion, seven hundred fifty-five million, nine hundred sixty-seven thousand, three hundred seventy-six".