14332089004992 has 1008 divisors, whose sum is σ = 48048260203008. Its totient is φ = 4204101242880.

The previous prime is 14332089004973. The next prime is 14332089004999. The reversal of 14332089004992 is 29940098023341.

14332089004992 is a `hidden beast` number, since 1 + 43 + 3 + 20 + 8 + 90 + 0 + 499 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14332089004999) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23228669068 + ... + 23228669684.

Almost surely, 2^{14332089004992} is an apocalyptic number.

14332089004992 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 14332089004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24024130101504).

14332089004992 is an abundant number, since it is smaller than the sum of its proper divisors (33716171198016).

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

14332089004992 is an equidigital number, since it uses as much as digits as its factorization.

14332089004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 14332089004992 in words is "fourteen trillion, three hundred thirty-two billion, eighty-nine million, four thousand, nine hundred ninety-two".