914801071680 has 168 divisors, whose sum is σ = 3198117666744. Its totient is φ = 239947776000.

The previous prime is 914801071643. The next prime is 914801071711. The reversal of 914801071680 is 86170108419.

It is a happy number.

914801071680 is a `hidden beast` number, since 9 + 1 + 480 + 1 + 0 + 7 + 168 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80910664704 + 833890406976 = 284448^2 + 913176^2 .

It is a super-2 number, since 2×914801071680² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2427921 + ... + 2779280.

It is an arithmetic number, because the mean of its divisors is an integer number (19036414683).

Almost surely, 2^914801071680 is an apocalyptic number.

914801071680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

914801071680 is an abundant number, since it is smaller than the sum of its proper divisors (2283316595064).

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

914801071680 is a wasteful number, since it uses less digits than its factorization.

914801071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207285 (or 5207272 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 914801071680 in words is "nine hundred fourteen billion, eight hundred one million, seventy-one thousand, six hundred eighty".