16969889664 has 256 divisors, whose sum is σ = 61643904000. Its totient is φ = 4475492352.

The previous prime is 16969889659. The next prime is 16969889683. The reversal of 16969889664 is 46698896961.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16969889592 and 16969889601.

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, 287517 + ... + 341475.

It is an arithmetic number, because the mean of its divisors is an integer number (240796500).

Almost surely, 2^16969889664 is an apocalyptic number.

16969889664 is a gapful number since it is divisible by the number (14) 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 16969889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30821952000).

16969889664 is an abundant number, since it is smaller than the sum of its proper divisors (44674014336).

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

16969889664 is a wasteful number, since it uses less digits than its factorization.

16969889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54002 (or 53984 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The spelling of 16969889664 in words is "sixteen billion, nine hundred sixty-nine million, eight hundred eighty-nine thousand, six hundred sixty-four".