34974175563168 has 48 divisors (see below), whose sum is σ = 96639169324320. Its totient is φ = 11044476493056.

The previous prime is 34974175563163. The next prime is 34974175563169. The reversal of 34974175563168 is 86136557147943.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (34974175563163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9587217355 + ... + 9587221002.

It is an arithmetic number, because the mean of its divisors is an integer number (2013316027590).

Almost surely, 2^{34974175563168} is an apocalyptic number.

34974175563168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34974175563168 is an abundant number, since it is smaller than the sum of its proper divisors (61664993761152).

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

34974175563168 is a wasteful number, since it uses less digits than its factorization.

34974175563168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19174438389 (or 19174438381 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 69.

The spelling of 34974175563168 in words is "thirty-four trillion, nine hundred seventy-four billion, one hundred seventy-five million, five hundred sixty-three thousand, one hundred sixty-eight".