45612572041 has 15 divisors (see below), whose sum is σ = 48528992001. Its totient is φ = 42871388256.

The previous prime is 45612572011. The next prime is 45612572059. The reversal of 45612572041 is 14027521654.

The square root of 45612572041 is 213571.

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

It can be written as a sum of positive squares in 2 ways, for example, as 14156002441 + 31456569600 = 118979^2 + 177360^2 .

It is not a de Polignac number, because 45612572041 - 2⁵ = 45612572009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45612572011) 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 14 ways as a sum of consecutive naturals, for example, 61721650 + ... + 61722388.

Almost surely, 2^45612572041 is an apocalyptic number.

45612572041 is the 213571-st square number.

45612572041 is the 106786-th centered octagonal number.

It is an amenable number.

45612572041 is a deficient number, since it is larger than the sum of its proper divisors (2916419960).

45612572041 is an frugal number, since it uses more digits than its factorization.

45612572041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 45612572041 in words is "forty-five billion, six hundred twelve million, five hundred seventy-two thousand, forty-one".