34102733452416 has 96 divisors (see below), whose sum is σ = 98507302470720. Its totient is φ = 11324354987520.

The previous prime is 34102733452397. The next prime is 34102733452421. The reversal of 34102733452416 is 61425433720143.

34102733452416 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 273 + 345 + 24 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55976620 + ... + 56582571.

It is an arithmetic number, because the mean of its divisors is an integer number (1026117734070).

Almost surely, 2^{34102733452416} is an apocalyptic number.

34102733452416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34102733452416 is an abundant number, since it is smaller than the sum of its proper divisors (64404569018304).

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

34102733452416 is a wasteful number, since it uses less digits than its factorization.

34102733452416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112559474 (or 112559459 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 34102733452416 in words is "thirty-four trillion, one hundred two billion, seven hundred thirty-three million, four hundred fifty-two thousand, four hundred sixteen".