16940844146688 has 448 divisors, whose sum is σ = 56402228551680. Its totient is φ = 4393746432000.

The previous prime is 16940844146669. The next prime is 16940844146711. The reversal of 16940844146688 is 88664144804961.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×16940844146688² (a number of 27 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 31 ways as a sum of consecutive naturals, for example, 1360594863 + ... + 1360607313.

Almost surely, 2^{16940844146688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16940844146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28201114275840).

16940844146688 is an abundant number, since it is smaller than the sum of its proper divisors (39461384404992).

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

16940844146688 is a wasteful number, since it uses less digits than its factorization.

16940844146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13217 (or 13193 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 69.

The spelling of 16940844146688 in words is "sixteen trillion, nine hundred forty billion, eight hundred forty-four million, one hundred forty-six thousand, six hundred eighty-eight".