13959249408 has 240 divisors, whose sum is σ = 44791883136. Its totient is φ = 4156047360.

The previous prime is 13959249397. The next prime is 13959249431. The reversal of 13959249408 is 80494295931.

13959249408 is a `hidden beast` number, since 1 + 3 + 9 + 592 + 4 + 9 + 40 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1853266 + ... + 1860782.

Almost surely, 2^13959249408 is an apocalyptic number.

13959249408 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 13959249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22395941568).

13959249408 is an abundant number, since it is smaller than the sum of its proper divisors (30832633728).

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

13959249408 is a wasteful number, since it uses less digits than its factorization.

13959249408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 13959249408 in words is "thirteen billion, nine hundred fifty-nine million, two hundred forty-nine thousand, four hundred eight".