13982256288 has 960 divisors, whose sum is σ = 58644165888. Its totient is φ = 3145236480.

The previous prime is 13982256259. The next prime is 13982256289. The reversal of 13982256288 is 88265228931.

It is a happy number.

13982256288 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 2 + 2 + 5 + 628 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (13982256289) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44107906 + ... + 44108222.

Almost surely, 2^13982256288 is an apocalyptic number.

13982256288 is a gapful number since it is divisible by the number (18) 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 13982256288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29322082944).

13982256288 is an abundant number, since it is smaller than the sum of its proper divisors (44661909600).

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

13982256288 is a wasteful number, since it uses less digits than its factorization.

13982256288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 13982256288 in words is "thirteen billion, nine hundred eighty-two million, two hundred fifty-six thousand, two hundred eighty-eight".