914131431720 has 768 divisors, whose sum is σ = 3470856480000. Its totient is φ = 206635696128.

The previous prime is 914131431709. The next prime is 914131431743. The reversal of 914131431720 is 27134131419.

It is a happy number.

914131431720 is a `hidden beast` number, since 9 + 1 + 4 + 1 + 314 + 317 + 20 = 666.

914131431720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 699411307 + ... + 699412613.

It is an arithmetic number, because the mean of its divisors is an integer number (4519344375).

Almost surely, 2^914131431720 is an apocalyptic number.

914131431720 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 914131431720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735428240000).

914131431720 is an abundant number, since it is smaller than the sum of its proper divisors (2556725048280).

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

914131431720 is a wasteful number, since it uses less digits than its factorization.

914131431720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 914131431720 in words is "nine hundred fourteen billion, one hundred thirty-one million, four hundred thirty-one thousand, seven hundred twenty".