33398871396264 has 192 divisors, whose sum is σ = 102395499148800. Its totient is φ = 9746267932800.

The previous prime is 33398871396259. The next prime is 33398871396271. The reversal of 33398871396264 is 46269317889333.

33398871396264 is a `hidden beast` number, since 3 + 3 + 39 + 88 + 71 + 396 + 2 + 64 = 666.

It is a super-2 number, since 2×33398871396264² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 33398871396192 and 33398871396201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4488394 + ... + 9324345.

It is an arithmetic number, because the mean of its divisors is an integer number (533309891400).

Almost surely, 2^{33398871396264} is an apocalyptic number.

It is an amenable number.

33398871396264 is an abundant number, since it is smaller than the sum of its proper divisors (68996627752536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33398871396264 is a wasteful number, since it uses less digits than its factorization.

33398871396264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13812876 (or 13812869 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 33398871396264 in words is "thirty-three trillion, three hundred ninety-eight billion, eight hundred seventy-one million, three hundred ninety-six thousand, two hundred sixty-four".