34526116716 has 192 divisors, whose sum is σ = 102224166912. Its totient is φ = 8827354368.

The previous prime is 34526116637. The next prime is 34526116727. The reversal of 34526116716 is 61761162543.

34526116716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5488525 + ... + 5494811.

It is an arithmetic number, because the mean of its divisors is an integer number (532417536).

Almost surely, 2^34526116716 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 34526116716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51112083456).

34526116716 is an abundant number, since it is smaller than the sum of its proper divisors (67698050196).

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

34526116716 is a wasteful number, since it uses less digits than its factorization.

34526116716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6468 (or 6466 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 34526116716 in words is "thirty-four billion, five hundred twenty-six million, one hundred sixteen thousand, seven hundred sixteen".