13814929080 has 256 divisors, whose sum is σ = 47232000000. Its totient is φ = 3635528832.

The previous prime is 13814929069. The next prime is 13814929111. The reversal of 13814929080 is 8092941831.

13814929080 is a `hidden beast` number, since 1 + 3 + 81 + 492 + 9 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6909921 + ... + 6911919.

It is an arithmetic number, because the mean of its divisors is an integer number (184500000).

Almost surely, 2^13814929080 is an apocalyptic number.

13814929080 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 13814929080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23616000000).

13814929080 is an abundant number, since it is smaller than the sum of its proper divisors (33417070920).

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

13814929080 is an equidigital number, since it uses as much as digits as its factorization.

13814929080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13814929080 in words is "thirteen billion, eight hundred fourteen million, nine hundred twenty-nine thousand, eighty".