33900542641 has 27 divisors (see below), whose sum is σ = 40887134379. Its totient is φ = 28024689168.

The previous prime is 33900542633. The next prime is 33900542657. The reversal of 33900542641 is 14624500933.

The square root of 33900542641 is 184121.

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

It can be written as a sum of positive squares in only one way, i.e., 17776622241 + 16123920400 = 133329^2 + 126980^2 .

It is not a de Polignac number, because 33900542641 - 2³ = 33900542633 is a prime.

It is a super-2 number, since 2×33900542641² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33900542641.

It is not an unprimeable number, because it can be changed into a prime (33900542341) 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, 37376110 + ... + 37377016.

Almost surely, 2^33900542641 is an apocalyptic number.

33900542641 is the 184121-st square number.

33900542641 is the 92061-st centered octagonal number.

It is an amenable number.

33900542641 is a deficient number, since it is larger than the sum of its proper divisors (6986591738).

33900542641 is an frugal number, since it uses more digits than its factorization.

33900542641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 33900542641 in words is "thirty-three billion, nine hundred million, five hundred forty-two thousand, six hundred forty-one".