453749599357201 has 27 divisors (see below), whose sum is σ = 546665074233681. Its totient is φ = 375513331177824.

The previous prime is 453749599357181. The next prime is 453749599357211. The reversal of 453749599357201 is 102753995947354.

The square root of 453749599357201 is 21301399.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7455459025 + 453742143898176 = 86345^2 + 21301224^2 .

It is not a de Polignac number, because 453749599357201 - 2³⁷ = 453612160403729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (453749599357211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4324131531 + ... + 4324236463.

Almost surely, 2^{453749599357201} is an apocalyptic number.

453749599357201 is the 21301399-th square number.

453749599357201 is the 10650700-th centered octagonal number.

It is an amenable number.

453749599357201 is a deficient number, since it is larger than the sum of its proper divisors (92915474876480).

453749599357201 is an frugal number, since it uses more digits than its factorization.

453749599357201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209938 (or 104969 counting only the distinct ones).

The product of its (nonzero) digits is 1285956000, while the sum is 73.

The spelling of 453749599357201 in words is "four hundred fifty-three trillion, seven hundred forty-nine billion, five hundred ninety-nine million, three hundred fifty-seven thousand, two hundred one".