16943883264 has 660 divisors, whose sum is σ = 64378805040. Its totient is φ = 4389396480.

The previous prime is 16943883259. The next prime is 16943883269. The reversal of 16943883264 is 46238834961.

It is an interprime number because it is at equal distance from previous prime (16943883259) and next prime (16943883269).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 16943883264.

It is not an unprimeable number, because it can be changed into a prime (16943883269) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44706627 + ... + 44707005.

It is an arithmetic number, because the mean of its divisors is an integer number (97543644).

Almost surely, 2^16943883264 is an apocalyptic number.

16943883264 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 16943883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32189402520).

16943883264 is an abundant number, since it is smaller than the sum of its proper divisors (47434921776).

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

16943883264 is a wasteful number, since it uses less digits than its factorization.

16943883264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 402 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 16943883264 in words is "sixteen billion, nine hundred forty-three million, eight hundred eighty-three thousand, two hundred sixty-four".