45800708121 has 135 divisors (see below), whose sum is σ = 82527108741. Its totient is φ = 25239601296.

The previous prime is 45800708099. The next prime is 45800708137. The reversal of 45800708121 is 12180700854.

The square root of 45800708121 is 214011.

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

45800708121 is a `hidden beast` number, since 4 + 580 + 0 + 70 + 8 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 45800708121 - 2⁵ = 45800708089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45800708621) 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 134 ways as a sum of consecutive naturals, for example, 579755760 + ... + 579755838.

Almost surely, 2^45800708121 is an apocalyptic number.

45800708121 is the 214011-st square number.

45800708121 is the 107006-th centered octagonal number.

It is an amenable number.

45800708121 is a deficient number, since it is larger than the sum of its proper divisors (36726400620).

45800708121 is an frugal number, since it uses more digits than its factorization.

45800708121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Multiplying 45800708121 by its sum of digits (36), we get a square (1648825492356 = 1284066²).

The spelling of 45800708121 in words is "forty-five billion, eight hundred million, seven hundred eight thousand, one hundred twenty-one".