33364664137 has 48 divisors (see below), whose sum is σ = 40592959488. Its totient is φ = 27323348640.

The previous prime is 33364664119. The next prime is 33364664143. The reversal of 33364664137 is 73146646333.

It is a happy number.

It is not a de Polignac number, because 33364664137 - 2¹⁵ = 33364631369 is a prime.

It is a super-2 number, since 2×33364664137² (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 (33364664147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17494938 + ... + 17496844.

It is an arithmetic number, because the mean of its divisors is an integer number (845686656).

Almost surely, 2^33364664137 is an apocalyptic number.

It is an amenable number.

33364664137 is a deficient number, since it is larger than the sum of its proper divisors (7228295351).

33364664137 is a wasteful number, since it uses less digits than its factorization.

33364664137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2139 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 46.

The spelling of 33364664137 in words is "thirty-three billion, three hundred sixty-four million, six hundred sixty-four thousand, one hundred thirty-seven".