14766904992 has 216 divisors, whose sum is σ = 45760601376. Its totient is φ = 4157427456.

The previous prime is 14766904991. The next prime is 14766905011. The reversal of 14766904992 is 29940966741.

It is a super-2 number, since 2×14766904992² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14766904991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29357413 + ... + 29357915.

It is an arithmetic number, because the mean of its divisors is an integer number (211854636).

Almost surely, 2^14766904992 is an apocalyptic number.

14766904992 is a gapful number since it is divisible by the number (12) 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 14766904992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22880300688).

14766904992 is an abundant number, since it is smaller than the sum of its proper divisors (30993696384).

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

14766904992 is an equidigital number, since it uses as much as digits as its factorization.

14766904992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 14766904992 in words is "fourteen billion, seven hundred sixty-six million, nine hundred four thousand, nine hundred ninety-two".