45950638321 has 27 divisors (see below), whose sum is σ = 54129741003. Its totient is φ = 38893659840.

The previous prime is 45950638277. The next prime is 45950638351. The reversal of 45950638321 is 12383605954.

The square root of 45950638321 is 214361.

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

It can be written as a sum of positive squares in only one way, i.e., 809687025 + 45140951296 = 28455^2 + 212464^2 .

It is not a de Polignac number, because 45950638321 - 2¹⁵ = 45950605553 is a prime.

It is a super-2 number, since 2×45950638321² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45950638351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 169559416 + ... + 169559686.

Almost surely, 2^45950638321 is an apocalyptic number.

45950638321 is the 214361-st square number.

45950638321 is the 107181-st centered octagonal number.

It is an amenable number.

45950638321 is a deficient number, since it is larger than the sum of its proper divisors (8179102682).

45950638321 is an frugal number, since it uses more digits than its factorization.

45950638321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 45950638321 in words is "forty-five billion, nine hundred fifty million, six hundred thirty-eight thousand, three hundred twenty-one".