16296293664 has 96 divisors (see below), whose sum is σ = 54320999040. Its totient is φ = 4656082176.

The previous prime is 16296293659. The next prime is 16296293681. The reversal of 16296293664 is 46639269261.

16296293664 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 629 + 3 + 6 + 6 + 4 = 666.

16296293664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 16296293664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341199 + ... + 1353294.

It is an arithmetic number, because the mean of its divisors is an integer number (565843740).

Almost surely, 2^16296293664 is an apocalyptic number.

16296293664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16296293664 is an abundant number, since it is smaller than the sum of its proper divisors (38024705376).

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

16296293664 is a wasteful number, since it uses less digits than its factorization.

16296293664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694519 (or 2694505 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 16296293664 in words is "sixteen billion, two hundred ninety-six million, two hundred ninety-three thousand, six hundred sixty-four".