13881249984 has 168 divisors, whose sum is σ = 44582047488. Its totient is φ = 3793574400.

The previous prime is 13881249983. The next prime is 13881250013. The reversal of 13881249984 is 48994218831.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×13881249984² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13881249983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184309 + ... + 248459.

Almost surely, 2^13881249984 is an apocalyptic number.

13881249984 is a gapful number since it is divisible by the number (14) 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 13881249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22291023744).

13881249984 is an abundant number, since it is smaller than the sum of its proper divisors (30700797504).

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

13881249984 is a wasteful number, since it uses less digits than its factorization.

13881249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64203 (or 64186 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 57.

The spelling of 13881249984 in words is "thirteen billion, eight hundred eighty-one million, two hundred forty-nine thousand, nine hundred eighty-four".