33934964782801 has 16 divisors (see below), whose sum is σ = 34736739117696. Its totient is φ = 33133765303296.

The previous prime is 33934964782781. The next prime is 33934964782907. The reversal of 33934964782801 is 10828746943933.

It is not a de Polignac number, because 33934964782801 - 2⁹ = 33934964782289 is a prime.

It is a super-2 number, since 2×33934964782801² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33934964782501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1952183956 + ... + 1952201338.

It is an arithmetic number, because the mean of its divisors is an integer number (2171046194856).

Almost surely, 2^{33934964782801} is an apocalyptic number.

It is an amenable number.

33934964782801 is a deficient number, since it is larger than the sum of its proper divisors (801774334895).

33934964782801 is a wasteful number, since it uses less digits than its factorization.

33934964782801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31272.

The product of its (nonzero) digits is 188116992, while the sum is 67.

The spelling of 33934964782801 in words is "thirty-three trillion, nine hundred thirty-four billion, nine hundred sixty-four million, seven hundred eighty-two thousand, eight hundred one".