33921969874128 has 90 divisors (see below), whose sum is σ = 110433895994994. Its totient is φ = 9691991390592.

The previous prime is 33921969874097. The next prime is 33921969874153. The reversal of 33921969874128 is 82147896912933.

33921969874128 is a `hidden beast` number, since 3 + 39 + 2 + 1 + 96 + 98 + 7 + 412 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33421487201424 + 500482672704 = 5781132^2 + 707448^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2403760651 + ... + 2403774762.

Almost surely, 2^{33921969874128} is an apocalyptic number.

It is an amenable number.

33921969874128 is an abundant number, since it is smaller than the sum of its proper divisors (76511926120866).

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

33921969874128 is a wasteful number, since it uses less digits than its factorization.

33921969874128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807535441 (or 4807535425 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 33921969874128 in words is "thirty-three trillion, nine hundred twenty-one billion, nine hundred sixty-nine million, eight hundred seventy-four thousand, one hundred twenty-eight".