9314439306480 has 960 divisors, whose sum is σ = 40634775207936. Its totient is φ = 1855491840000.

The previous prime is 9314439306401. The next prime is 9314439306533. The reversal of 9314439306480 is 846039344139.

It is a happy number.

9314439306480 is a `hidden beast` number, since 9 + 31 + 4 + 43 + 93 + 0 + 6 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 183869155 + ... + 183919805.

Almost surely, 2^{9314439306480} is an apocalyptic number.

9314439306480 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 9314439306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20317387603968).

9314439306480 is an abundant number, since it is smaller than the sum of its proper divisors (31320335901456).

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

9314439306480 is a wasteful number, since it uses less digits than its factorization.

9314439306480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50826 (or 50817 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 9314439306480 in words is "nine trillion, three hundred fourteen billion, four hundred thirty-nine million, three hundred six thousand, four hundred eighty".