45655296241 has 9 divisors (see below), whose sum is σ = 46305098571. Its totient is φ = 45014496912.

The previous prime is 45655296233. The next prime is 45655296257. The reversal of 45655296241 is 14269255654.

The square root of 45655296241 is 213671.

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., 25916170225 + 19739126016 = 160985^2 + 140496^2 .

It is not a de Polignac number, because 45655296241 - 2³ = 45655296233 is a prime.

It is a Duffinian number.

Its product of digits (2592000) is a multiple of the sum of its prime divisors (3000).

It is not an unprimeable number, because it can be changed into a prime (45655296041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15596520 + ... + 15599446.

Almost surely, 2^45655296241 is an apocalyptic number.

45655296241 is the 213671-st square number.

45655296241 is the 106836-th centered octagonal number.

It is an amenable number.

45655296241 is a deficient number, since it is larger than the sum of its proper divisors (649802330).

45655296241 is an frugal number, since it uses more digits than its factorization.

45655296241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 3000 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 49.

Multiplying 45655296241 by its sum of digits (49), we get a square (2237109515809 = 1495697²).

The spelling of 45655296241 in words is "forty-five billion, six hundred fifty-five million, two hundred ninety-six thousand, two hundred forty-one".