314089580880 has 240 divisors, whose sum is σ = 1105389042240. Its totient is φ = 81973907712.

The previous prime is 314089580863. The next prime is 314089580899. The reversal of 314089580880 is 88085980413.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4738527 + ... + 4804353.

It is an arithmetic number, because the mean of its divisors is an integer number (4605787676).

Almost surely, 2^314089580880 is an apocalyptic number.

314089580880 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 314089580880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552694521120).

314089580880 is an abundant number, since it is smaller than the sum of its proper divisors (791299461360).

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

314089580880 is a wasteful number, since it uses less digits than its factorization.

314089580880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65943 (or 65884 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 314089580880 in words is "three hundred fourteen billion, eighty-nine million, five hundred eighty thousand, eight hundred eighty".