34566045696 has 684 divisors, whose sum is σ = 130534880112. Its totient is φ = 8719958016.

The previous prime is 34566045667. The next prime is 34566045713. The reversal of 34566045696 is 69654066543.

34566045696 = 281³ + 282³ + ... + 616³.

34566045696 is a `hidden beast` number, since 3 + 45 + 6 + 60 + 456 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1502871541 + ... + 1502871563.

It is an arithmetic number, because the mean of its divisors is an integer number (190840468).

Almost surely, 2^34566045696 is an apocalyptic number.

34566045696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34566045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65267440056).

34566045696 is an abundant number, since it is smaller than the sum of its proper divisors (95968834416).

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

34566045696 is an equidigital number, since it uses as much as digits as its factorization.

34566045696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 34566045696 in words is "thirty-four billion, five hundred sixty-six million, forty-five thousand, six hundred ninety-six".