14590996992 has 640 divisors, whose sum is σ = 51999171840. Its totient is φ = 4014489600.

The previous prime is 14590996949. The next prime is 14590997011. The reversal of 14590996992 is 29969909541.

It is a happy number.

14590996992 is a `hidden beast` number, since 1 + 459 + 0 + 9 + 96 + 9 + 92 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 14590996992 = 748³ + 2420³ = 1056³ + 2376³.

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, 239196642 + ... + 239196702.

It is an arithmetic number, because the mean of its divisors is an integer number (81248706).

Almost surely, 2^14590996992 is an apocalyptic number.

14590996992 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 14590996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25999585920).

14590996992 is an abundant number, since it is smaller than the sum of its proper divisors (37408174848).

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

14590996992 is an equidigital number, since it uses as much as digits as its factorization.

14590996992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 14590996992 in words is "fourteen billion, five hundred ninety million, nine hundred ninety-six thousand, nine hundred ninety-two".