13990516992 has 216 divisors, whose sum is σ = 42051784320. Its totient is φ = 4639057920.

The previous prime is 13990516949. The next prime is 13990516999. The reversal of 13990516992 is 29961509931.

13990516992 is a `hidden beast` number, since 1 + 39 + 9 + 0 + 516 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (13990516999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14867242 + ... + 14868182.

Almost surely, 2^13990516992 is an apocalyptic number.

13990516992 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 13990516992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21025892160).

13990516992 is an abundant number, since it is smaller than the sum of its proper divisors (28061267328).

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

13990516992 is an frugal number, since it uses more digits than its factorization.

13990516992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 13990516992 in words is "thirteen billion, nine hundred ninety million, five hundred sixteen thousand, nine hundred ninety-two".