33981604281 has 27 divisors (see below), whose sum is σ = 50287777839. Its totient is φ = 22112071632.

The previous prime is 33981604271. The next prime is 33981604303. The reversal of 33981604281 is 18240618933.

The square root of 33981604281 is 184341.

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

33981604281 is a `hidden beast` number, since 3 + 39 + 8 + 1 + 604 + 2 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2290483881 + 31691120400 = 47859^2 + 178020^2 .

It is a de Polignac number, because none of the positive numbers 2^k-33981604281 is a prime.

It is a super-2 number, since 2×33981604281² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33981604271) 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, 23779275 + ... + 23780703.

Almost surely, 2^33981604281 is an apocalyptic number.

33981604281 is the 184341-st square number.

33981604281 is the 92171-st centered octagonal number.

It is an amenable number.

33981604281 is a deficient number, since it is larger than the sum of its proper divisors (16306173558).

33981604281 is an frugal number, since it uses more digits than its factorization.

33981604281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 33981604281 in words is "thirty-three billion, nine hundred eighty-one million, six hundred four thousand, two hundred eighty-one".