16846149801312 has 72 divisors (see below), whose sum is σ = 51591333777984. Its totient is φ = 5183430706944.

The previous prime is 16846149801301. The next prime is 16846149801367. The reversal of 16846149801312 is 21310894164861.

16846149801312 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 614 + 9 + 8 + 0 + 1 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 2249749168 + ... + 2249756655.

It is an arithmetic number, because the mean of its divisors is an integer number (716546302472).

Almost surely, 2^{16846149801312} is an apocalyptic number.

16846149801312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16846149801312 is an abundant number, since it is smaller than the sum of its proper divisors (34745183976672).

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

16846149801312 is a wasteful number, since it uses less digits than its factorization.

16846149801312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499505852 (or 4499505841 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 16846149801312 in words is "sixteen trillion, eight hundred forty-six billion, one hundred forty-nine million, eight hundred one thousand, three hundred twelve".