34354536516511 has 16 divisors (see below), whose sum is σ = 36297207682560. Its totient is φ = 32425326380160.

The previous prime is 34354536516493. The next prime is 34354536516527. The reversal of 34354536516511 is 11561563545343.

It is a cyclic number.

It is not a de Polignac number, because 34354536516511 - 2¹³ = 34354536508319 is a prime.

It is a super-2 number, since 2×34354536516511² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34354536516551) 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, 215029920 + ... + 215189626.

It is an arithmetic number, because the mean of its divisors is an integer number (2268575480160).

Almost surely, 2^{34354536516511} is an apocalyptic number.

34354536516511 is a deficient number, since it is larger than the sum of its proper divisors (1942671166049).

34354536516511 is a wasteful number, since it uses less digits than its factorization.

34354536516511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201774.

The product of its digits is 9720000, while the sum is 52.

The spelling of 34354536516511 in words is "thirty-four trillion, three hundred fifty-four billion, five hundred thirty-six million, five hundred sixteen thousand, five hundred eleven".