45257924214801 has 63 divisors (see below), whose sum is σ = 68262126951627. Its totient is φ = 29992368234240.

The previous prime is 45257924214793. The next prime is 45257924214863. The reversal of 45257924214801 is 10841242975254.

The square root of 45257924214801 is 6727401.

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

45257924214801 is a `hidden beast` number, since 4 + 5 + 2 + 57 + 92 + 4 + 21 + 480 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10965469302225 + 34292454912576 = 3311415^2 + 5855976^2 .

It is not a de Polignac number, because 45257924214801 - 2³ = 45257924214793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45257924212801) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 35056485966 + ... + 35056487256.

It is an arithmetic number, because the mean of its divisors is an integer number (1083525824629).

Almost surely, 2^{45257924214801} is an apocalyptic number.

45257924214801 is the 6727401-st square number.

45257924214801 is the 3363701-st centered octagonal number.

It is an amenable number.

45257924214801 is a deficient number, since it is larger than the sum of its proper divisors (23004202736826).

45257924214801 is an frugal number, since it uses more digits than its factorization.

45257924214801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 45257924214801 in words is "forty-five trillion, two hundred fifty-seven billion, nine hundred twenty-four million, two hundred fourteen thousand, eight hundred one".