34160193930816 has 224 divisors, whose sum is σ = 100955091968000. Its totient is φ = 11326615534080.

The previous prime is 34160193930803. The next prime is 34160193930893. The reversal of 34160193930816 is 61803939106143.

34160193930816 is a `hidden beast` number, since 3 + 4 + 160 + 19 + 393 + 0 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1661235351 + ... + 1661255913.

Almost surely, 2^{34160193930816} is an apocalyptic number.

34160193930816 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 34160193930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50477545984000).

34160193930816 is an abundant number, since it is smaller than the sum of its proper divisors (66794898037184).

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

34160193930816 is a wasteful number, since it uses less digits than its factorization.

34160193930816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25614 (or 25598 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 34160193930816 in words is "thirty-four trillion, one hundred sixty billion, one hundred ninety-three million, nine hundred thirty thousand, eight hundred sixteen".