346286520902016 has 768 divisors, whose sum is σ = 1110052180224000. Its totient is φ = 103119464448000.

The previous prime is 346286520901999. The next prime is 346286520902081. The reversal of 346286520902016 is 610209025682643.

346286520902016 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 8 + 6 + 520 + 90 + 20 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27879111486 + ... + 27879123906.

It is an arithmetic number, because the mean of its divisors is an integer number (1445380443000).

Almost surely, 2^{346286520902016} is an apocalyptic number.

346286520902016 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 346286520902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555026090112000).

346286520902016 is an abundant number, since it is smaller than the sum of its proper divisors (763765659321984).

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

346286520902016 is a wasteful number, since it uses less digits than its factorization.

346286520902016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13263 (or 13248 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 346286520902016 in words is "three hundred forty-six trillion, two hundred eighty-six billion, five hundred twenty million, nine hundred two thousand, sixteen".