314899660800 has 768 divisors, whose sum is σ = 1209199392000. Its totient is φ = 80192471040.

The previous prime is 314899660793. The next prime is 314899660807. The reversal of 314899660800 is 8066998413.

It is an interprime number because it is at equal distance from previous prime (314899660793) and next prime (314899660807).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314899660807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508722891 + ... + 508723509.

It is an arithmetic number, because the mean of its divisors is an integer number (1574478375).

Almost surely, 2^314899660800 is an apocalyptic number.

314899660800 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 314899660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604599696000).

314899660800 is an abundant number, since it is smaller than the sum of its proper divisors (894299731200).

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

314899660800 is an equidigital number, since it uses as much as digits as its factorization.

314899660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 314899660800 in words is "three hundred fourteen billion, eight hundred ninety-nine million, six hundred sixty thousand, eight hundred".