16937105664 has 144 divisors (see below), whose sum is σ = 45888159744. Its totient is φ = 5544806400.

The previous prime is 16937105651. The next prime is 16937105671. The reversal of 16937105664 is 46650173961.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 20883819 + ... + 20884629.

It is an arithmetic number, because the mean of its divisors is an integer number (318667776).

Almost surely, 2^16937105664 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 16937105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22944079872).

16937105664 is an abundant number, since it is smaller than the sum of its proper divisors (28951054080).

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

16937105664 is an equidigital number, since it uses as much as digits as its factorization.

16937105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 16937105664 in words is "sixteen billion, nine hundred thirty-seven million, one hundred five thousand, six hundred sixty-four".