13982492160 has 1440 divisors, whose sum is σ = 65418312960. Its totient is φ = 2794881024.

The previous prime is 13982492159. The next prime is 13982492201. The reversal of 13982492160 is 6129428931.

13982492160 is a `hidden beast` number, since 1 + 398 + 2 + 49 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×13982492160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 735920631 + ... + 735920649.

It is an arithmetic number, because the mean of its divisors is an integer number (45429384).

Almost surely, 2^13982492160 is an apocalyptic number.

13982492160 is a gapful number since it is divisible by the number (10) 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 13982492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32709156480).

13982492160 is an abundant number, since it is smaller than the sum of its proper divisors (51435820800).

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

13982492160 is an equidigital number, since it uses as much as digits as its factorization.

13982492160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13982492160 in words is "thirteen billion, nine hundred eighty-two million, four hundred ninety-two thousand, one hundred sixty".