16961433664 has 112 divisors (see below), whose sum is σ = 41722974720. Its totient is φ = 6674595840.

The previous prime is 16961433659. The next prime is 16961433673. The reversal of 16961433664 is 46633416961.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285097 + ... + 339415.

It is an arithmetic number, because the mean of its divisors is an integer number (372526560).

Almost surely, 2^16961433664 is an apocalyptic number.

16961433664 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 16961433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20861487360).

16961433664 is an abundant number, since it is smaller than the sum of its proper divisors (24761541056).

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

16961433664 is a wasteful number, since it uses less digits than its factorization.

16961433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54396 (or 54386 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 49.

The spelling of 16961433664 in words is "sixteen billion, nine hundred sixty-one million, four hundred thirty-three thousand, six hundred sixty-four".