453953885121 has 81 divisors (see below), whose sum is σ = 766268803209. Its totient is φ = 258724224000.

The previous prime is 453953885113. The next prime is 453953885137. The reversal of 453953885121 is 121588359354.

The square root of 453953885121 is 673761.

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

453953885121 is a `hidden beast` number, since 4 + 5 + 3 + 9 + 538 + 85 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85582577025 + 368371308096 = 292545^2 + 606936^2 .

It is not a de Polignac number, because 453953885121 - 2³ = 453953885113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (453953883121) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 377979321 + ... + 377980521.

Almost surely, 2^453953885121 is an apocalyptic number.

453953885121 is the 673761-st square number.

453953885121 is the 336881-st centered octagonal number.

It is an amenable number.

453953885121 is a deficient number, since it is larger than the sum of its proper divisors (312314918088).

453953885121 is a wasteful number, since it uses less digits than its factorization.

453953885121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 1232 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 453953885121 in words is "four hundred fifty-three billion, nine hundred fifty-three million, eight hundred eighty-five thousand, one hundred twenty-one".