314763214080 has 288 divisors, whose sum is σ = 1149907175424. Its totient is φ = 71881924608.

The previous prime is 314763214063. The next prime is 314763214091. The reversal of 314763214080 is 80412367413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34482477 + ... + 34491603.

It is an arithmetic number, because the mean of its divisors is an integer number (3992733248).

Almost surely, 2^314763214080 is an apocalyptic number.

314763214080 is a gapful number since it is divisible by the number (30) 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 314763214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574953587712).

314763214080 is an abundant number, since it is smaller than the sum of its proper divisors (835143961344).

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

314763214080 is a wasteful number, since it uses less digits than its factorization.

314763214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10441 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 314763214080 in words is "three hundred fourteen billion, seven hundred sixty-three million, two hundred fourteen thousand, eighty".