33116072001 has 16 divisors (see below), whose sum is σ = 45797141568. Its totient is φ = 21268008000.

The previous prime is 33116071999. The next prime is 33116072009. The reversal of 33116072001 is 10027061133.

It is not a de Polignac number, because 33116072001 - 2¹ = 33116071999 is a prime.

It is a super-2 number, since 2×33116072001² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33116072009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465735 + ... + 1488156.

It is an arithmetic number, because the mean of its divisors is an integer number (2862321348).

Almost surely, 2^33116072001 is an apocalyptic number.

It is an amenable number.

33116072001 is a deficient number, since it is larger than the sum of its proper divisors (12681069567).

33116072001 is a wasteful number, since it uses less digits than its factorization.

33116072001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954032.

The product of its (nonzero) digits is 756, while the sum is 24.

The spelling of 33116072001 in words is "thirty-three billion, one hundred sixteen million, seventy-two thousand, one".