14092882944 has 264 divisors, whose sum is σ = 43987049568. Its totient is φ = 3999744000.

The previous prime is 14092882927. The next prime is 14092883029. The reversal of 14092882944 is 44928829041.

It is a super-2 number, since 2×14092882944² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37782342 + ... + 37782714.

It is an arithmetic number, because the mean of its divisors is an integer number (166617612).

Almost surely, 2^14092882944 is an apocalyptic number.

14092882944 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 14092882944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21993524784).

14092882944 is an abundant number, since it is smaller than the sum of its proper divisors (29894166624).

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

14092882944 is a wasteful number, since it uses less digits than its factorization.

14092882944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 14092882944 in words is "fourteen billion, ninety-two million, eight hundred eighty-two thousand, nine hundred forty-four".