13114249920 has 560 divisors, whose sum is σ = 50747980800. Its totient is φ = 3202467840.

The previous prime is 13114249909. The next prime is 13114249927. The reversal of 13114249920 is 2994241131.

13114249920 is a `hidden beast` number, since 1 + 3 + 1 + 142 + 499 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13114249927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15266451 + ... + 15267309.

Almost surely, 2^13114249920 is an apocalyptic number.

13114249920 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 13114249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25373990400).

13114249920 is an abundant number, since it is smaller than the sum of its proper divisors (37633730880).

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

13114249920 is a wasteful number, since it uses less digits than its factorization.

13114249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13114249920 in words is "thirteen billion, one hundred fourteen million, two hundred forty-nine thousand, nine hundred twenty".