14439291768 has 256 divisors, whose sum is σ = 47464704000. Its totient is φ = 4017254400.

The previous prime is 14439291743. The next prime is 14439291791. The reversal of 14439291768 is 86719293441.

14439291768 is a `hidden beast` number, since 1 + 443 + 9 + 29 + 176 + 8 = 666.

It is a super-2 number, since 2×14439291768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1651713 + ... + 1660431.

It is an arithmetic number, because the mean of its divisors is an integer number (185409000).

Almost surely, 2^14439291768 is an apocalyptic number.

14439291768 is a gapful number since it is divisible by the number (18) 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 14439291768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23732352000).

14439291768 is an abundant number, since it is smaller than the sum of its proper divisors (33025412232).

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

14439291768 is a wasteful number, since it uses less digits than its factorization.

14439291768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8803 (or 8793 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 14439291768 in words is "fourteen billion, four hundred thirty-nine million, two hundred ninety-one thousand, seven hundred sixty-eight".