34457612814 has 64 divisors (see below), whose sum is σ = 78587599680. Its totient is φ = 11186772480.

The previous prime is 34457612797. The next prime is 34457612831. The reversal of 34457612814 is 41821675443.

34457612814 is a `hidden beast` number, since 3 + 44 + 576 + 1 + 28 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (34457612797) and next prime (34457612831).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34457612814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348154 + ... + 436034.

It is an arithmetic number, because the mean of its divisors is an integer number (1227931245).

Almost surely, 2^34457612814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34457612814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39293799840).

34457612814 is an abundant number, since it is smaller than the sum of its proper divisors (44129986866).

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

34457612814 is a wasteful number, since it uses less digits than its factorization.

34457612814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88082 (or 88076 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 34457612814 in words is "thirty-four billion, four hundred fifty-seven million, six hundred twelve thousand, eight hundred fourteen".