334089034747416 has 80 divisors (see below), whose sum is σ = 1007740072785600. Its totient is φ = 102796626073536.

The previous prime is 334089034747409. The next prime is 334089034747423. The reversal of 334089034747416 is 614747430980433.

334089034747416 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 8 + 90 + 3 + 474 + 74 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (334089034747409) and next prime (334089034747423).

It is a super-2 number, since 2×334089034747416² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19829587656 + ... + 19829604503.

It is an arithmetic number, because the mean of its divisors is an integer number (12596750909820).

Almost surely, 2^{334089034747416} is an apocalyptic number.

334089034747416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

334089034747416 is an abundant number, since it is smaller than the sum of its proper divisors (673651038038184).

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

334089034747416 is a wasteful number, since it uses less digits than its factorization.

334089034747416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39659192190 (or 39659192177 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 334089034747416 in words is "three hundred thirty-four trillion, eighty-nine billion, thirty-four million, seven hundred forty-seven thousand, four hundred sixteen".