16961664384 has 576 divisors, whose sum is σ = 60949324800. Its totient is φ = 4676797440.

The previous prime is 16961664311. The next prime is 16961664389. The reversal of 16961664384 is 48346616961.

16961664384 is a `hidden beast` number, since 16 + 9 + 616 + 6 + 4 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 16961664384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16961664389) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47246797 + ... + 47247155.

It is an arithmetic number, because the mean of its divisors is an integer number (105814800).

Almost surely, 2^16961664384 is an apocalyptic number.

16961664384 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 16961664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30474662400).

16961664384 is an abundant number, since it is smaller than the sum of its proper divisors (43987660416).

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

16961664384 is an equidigital number, since it uses as much as digits as its factorization.

16961664384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 402 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 16961664384 in words is "sixteen billion, nine hundred sixty-one million, six hundred sixty-four thousand, three hundred eighty-four".