34416654013 has 16 divisors (see below), whose sum is σ = 39514147200. Its totient is φ = 29364480000.

The previous prime is 34416653987. The next prime is 34416654031. The reversal of 34416654013 is 31045661443.

It is a cyclic number.

It is not a de Polignac number, because 34416654013 - 2⁵ = 34416653981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34416654113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6747138 + ... + 6752236.

It is an arithmetic number, because the mean of its divisors is an integer number (2469634200).

Almost surely, 2^34416654013 is an apocalyptic number.

It is an amenable number.

34416654013 is a deficient number, since it is larger than the sum of its proper divisors (5097493187).

34416654013 is a wasteful number, since it uses less digits than its factorization.

34416654013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348.

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 34416654013 in words is "thirty-four billion, four hundred sixteen million, six hundred fifty-four thousand, thirteen".