314104226688 has 384 divisors, whose sum is σ = 1071946249920. Its totient is φ = 86410395648.

The previous prime is 314104226671. The next prime is 314104226717. The reversal of 314104226688 is 886622401413.

314104226688 is a `hidden beast` number, since 3 + 1 + 410 + 4 + 226 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×314104226688² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28936270 + ... + 28947122.

Almost surely, 2^314104226688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314104226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535973124960).

314104226688 is an abundant number, since it is smaller than the sum of its proper divisors (757842023232).

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

314104226688 is a wasteful number, since it uses less digits than its factorization.

314104226688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11014 (or 10999 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 314104226688 in words is "three hundred fourteen billion, one hundred four million, two hundred twenty-six thousand, six hundred eighty-eight".