914131118880 has 864 divisors, whose sum is σ = 3825186346800. Its totient is φ = 197909397504.

The previous prime is 914131118833. The next prime is 914131118897. The reversal of 914131118880 is 88811131419.

It can be written as a sum of positive squares in 8 ways, for example, as 341705717136 + 572425401744 = 584556^2 + 756588^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108446506 + ... + 108454934.

Almost surely, 2^914131118880 is an apocalyptic number.

914131118880 is a gapful number since it is divisible by the number (90) 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 914131118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912593173400).

914131118880 is an abundant number, since it is smaller than the sum of its proper divisors (2911055227920).

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

914131118880 is a wasteful number, since it uses less digits than its factorization.

914131118880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546 (or 8528 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 914131118880 in words is "nine hundred fourteen billion, one hundred thirty-one million, one hundred eighteen thousand, eight hundred eighty".