33867408961 has 3 divisors (see below), whose sum is σ = 33867592993. Its totient is φ = 33867224930.

The previous prime is 33867408929. The next prime is 33867408973. The reversal of 33867408961 is 16980476833.

It is a happy number.

The square root of 33867408961 is 184031.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 33867408961 - 2⁵ = 33867408929 is a prime.

It is a super-2 number, since 2×33867408961² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33867400961) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 92016 + ... + 276046.

Almost surely, 2^33867408961 is an apocalyptic number.

33867408961 is the 184031-st square number.

33867408961 is the 92016-th centered octagonal number.

It is an amenable number.

33867408961 is a deficient number, since it is larger than the sum of its proper divisors (184032).

33867408961 is an frugal number, since it uses more digits than its factorization.

33867408961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368062 (or 184031 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 33867408961 in words is "thirty-three billion, eight hundred sixty-seven million, four hundred eight thousand, nine hundred sixty-one".