13914889809408 has 480 divisors, whose sum is σ = 46636424220672. Its totient is φ = 3911838105600.

The previous prime is 13914889809391. The next prime is 13914889809451. The reversal of 13914889809408 is 80490898841931.

13914889809408 is a `hidden beast` number, since 1 + 3 + 91 + 48 + 8 + 98 + 0 + 9 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014863673 + ... + 1014877383.

Almost surely, 2^{13914889809408} is an apocalyptic number.

13914889809408 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 13914889809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23318212110336).

13914889809408 is an abundant number, since it is smaller than the sum of its proper divisors (32721534411264).

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

13914889809408 is a wasteful number, since it uses less digits than its factorization.

13914889809408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14246 (or 14227 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 72.

The spelling of 13914889809408 in words is "thirteen trillion, nine hundred fourteen billion, eight hundred eighty-nine million, eight hundred nine thousand, four hundred eight".