34233026564261 has 48 divisors (see below), whose sum is σ = 40859075980800. Its totient is φ = 28580839418880.

The previous prime is 34233026564213. The next prime is 34233026564287. The reversal of 34233026564261 is 16246562033243.

It is not a de Polignac number, because 34233026564261 - 2²² = 34233022369957 is a prime.

It is a super-2 number, since 2×34233026564261² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34233026564461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7106708525 + ... + 7106713341.

It is an arithmetic number, because the mean of its divisors is an integer number (851230749600).

Almost surely, 2^{34233026564261} is an apocalyptic number.

It is an amenable number.

34233026564261 is a deficient number, since it is larger than the sum of its proper divisors (6626049416539).

34233026564261 is a wasteful number, since it uses less digits than its factorization.

34233026564261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9834 (or 9827 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 47.

The spelling of 34233026564261 in words is "thirty-four trillion, two hundred thirty-three billion, twenty-six million, five hundred sixty-four thousand, two hundred sixty-one".