33966992774401 has 8 divisors (see below), whose sum is σ = 34627161031200. Its totient is φ = 33309639734880.

The previous prime is 33966992774357. The next prime is 33966992774437. The reversal of 33966992774401 is 10447729966933.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33966992774401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33966992771401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 703779955 + ... + 703828216.

It is an arithmetic number, because the mean of its divisors is an integer number (4328395128900).

Almost surely, 2^{33966992774401} is an apocalyptic number.

It is an amenable number.

33966992774401 is a deficient number, since it is larger than the sum of its proper divisors (660168256799).

33966992774401 is a wasteful number, since it uses less digits than its factorization.

33966992774401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407608639.

The product of its (nonzero) digits is 370355328, while the sum is 70.

The spelling of 33966992774401 in words is "thirty-three trillion, nine hundred sixty-six billion, nine hundred ninety-two million, seven hundred seventy-four thousand, four hundred one".