14992338816 has 768 divisors, whose sum is σ = 57939264000. Its totient is φ = 3726508032.

The previous prime is 14992338793. The next prime is 14992338821. The reversal of 14992338816 is 61883329941.

14992338816 is a `hidden beast` number, since 149 + 92 + 338 + 81 + 6 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77680416 + ... + 77680608.

It is an arithmetic number, because the mean of its divisors is an integer number (75441750).

Almost surely, 2^14992338816 is an apocalyptic number.

14992338816 is a gapful number since it is divisible by the number (16) 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 14992338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28969632000).

14992338816 is an abundant number, since it is smaller than the sum of its proper divisors (42946925184).

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

14992338816 is a wasteful number, since it uses less digits than its factorization.

14992338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 14992338816 in words is "fourteen billion, nine hundred ninety-two million, three hundred thirty-eight thousand, eight hundred sixteen".