16268838890304 has 896 divisors, whose sum is σ = 59344006385664. Its totient is φ = 3796475904000.

The previous prime is 16268838890299. The next prime is 16268838890323. The reversal of 16268838890304 is 40309883886261.

It is a super-2 number, since 2×16268838890304² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3679898014 + ... + 3679902434.

It is an arithmetic number, because the mean of its divisors is an integer number (66232149984).

Almost surely, 2^{16268838890304} is an apocalyptic number.

16268838890304 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 16268838890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29672003192832).

16268838890304 is an abundant number, since it is smaller than the sum of its proper divisors (43075167495360).

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

16268838890304 is a wasteful number, since it uses less digits than its factorization.

16268838890304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 66.

The spelling of 16268838890304 in words is "sixteen trillion, two hundred sixty-eight billion, eight hundred thirty-eight million, eight hundred ninety thousand, three hundred four".