14161838080 has 256 divisors, whose sum is σ = 37543690800. Its totient is φ = 5096079360.

The previous prime is 14161838051. The next prime is 14161838111. The reversal of 14161838080 is 8083816141.

It can be written as a sum of positive squares in 8 ways, for example, as 1387413504 + 12774424576 = 37248^2 + 113024^2 .

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129925066 + ... + 129925174.

Almost surely, 2^14161838080 is an apocalyptic number.

14161838080 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 14161838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18771845400).

14161838080 is an abundant number, since it is smaller than the sum of its proper divisors (23381852720).

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

14161838080 is an equidigital number, since it uses as much as digits as its factorization.

14161838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 14161838080 in words is "fourteen billion, one hundred sixty-one million, eight hundred thirty-eight thousand, eighty".