34301054816 has 48 divisors (see below), whose sum is σ = 77292389664. Its totient is φ = 14678544384.

The previous prime is 34301054791. The next prime is 34301054833. The reversal of 34301054816 is 61845010343.

It is a super-2 number, since 2×34301054816² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36986 + ... + 264518.

It is an arithmetic number, because the mean of its divisors is an integer number (1610258118).

Almost surely, 2^34301054816 is an apocalyptic number.

It is an amenable number.

34301054816 is an abundant number, since it is smaller than the sum of its proper divisors (42991334848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34301054816 is a wasteful number, since it uses less digits than its factorization.

34301054816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228223 (or 228215 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 34301054816 in words is "thirty-four billion, three hundred one million, fifty-four thousand, eight hundred sixteen".