45577553121 has 21 divisors (see below), whose sum is σ = 68343712801. Its totient is φ = 30381192612.

The previous prime is 45577553111. The next prime is 45577553137. The reversal of 45577553121 is 12135577554.

The square root of 45577553121 is 213489.

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

45577553121 is a `hidden beast` number, since 4 + 5 + 5 + 77 + 553 + 1 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-45577553121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45577553111) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5760250 + ... + 5768156.

Almost surely, 2^45577553121 is an apocalyptic number.

45577553121 is the 213489-th square number.

45577553121 is the 106745-th centered octagonal number.

It is an amenable number.

45577553121 is a deficient number, since it is larger than the sum of its proper divisors (22766159680).

45577553121 is an frugal number, since it uses more digits than its factorization.

45577553121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15832 (or 7910 counting only the distinct ones).

The product of its digits is 735000, while the sum is 45.

The spelling of 45577553121 in words is "forty-five billion, five hundred seventy-seven million, five hundred fifty-three thousand, one hundred twenty-one".