89904625281 has 27 divisors (see below), whose sum is σ = 131454814179. Its totient is φ = 59210201952.

The previous prime is 89904625271. The next prime is 89904625333. The reversal of 89904625281 is 18252640998.

It is a happy number.

The square root of 89904625281 is 299841.

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

89904625281 is a `hidden beast` number, since 8 + 9 + 9 + 0 + 4 + 625 + 2 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17263594881 + 72641030400 = 131391^2 + 269520^2 .

It is not a de Polignac number, because 89904625281 - 2¹⁵ = 89904592513 is a prime.

It is a super-2 number, since 2×89904625281² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (89904625271) 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, 80056986 + ... + 80058108.

Almost surely, 2^89904625281 is an apocalyptic number.

89904625281 is the 299841-st square number.

89904625281 is the 149921-st centered octagonal number.

It is an amenable number.

89904625281 is a deficient number, since it is larger than the sum of its proper divisors (41550188898).

89904625281 is an frugal number, since it uses more digits than its factorization.

89904625281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 89904625281 in words is "eighty-nine billion, nine hundred four million, six hundred twenty-five thousand, two hundred eighty-one".