34361146456 has 128 divisors (see below), whose sum is σ = 80390983680. Its totient is φ = 13406893056.

The previous prime is 34361146427. The next prime is 34361146489. The reversal of 34361146456 is 65464116343.

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, 16654881 + ... + 16656943.

It is an arithmetic number, because the mean of its divisors is an integer number (628054560).

Almost surely, 2^34361146456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34361146456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40195491840).

34361146456 is an abundant number, since it is smaller than the sum of its proper divisors (46029837224).

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

34361146456 is a wasteful number, since it uses less digits than its factorization.

34361146456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2389 counting only the distinct ones).

The product of its digits is 622080, while the sum is 43.

The spelling of 34361146456 in words is "thirty-four billion, three hundred sixty-one million, one hundred forty-six thousand, four hundred fifty-six".