314849008320 has 448 divisors, whose sum is σ = 1256647191552. Its totient is φ = 65421312000.

The previous prime is 314849008319. The next prime is 314849008349. The reversal of 314849008320 is 23800948413.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8926720 + ... + 8961920.

Almost surely, 2^314849008320 is an apocalyptic number.

314849008320 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 314849008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628323595776).

314849008320 is an abundant number, since it is smaller than the sum of its proper divisors (941798183232).

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

314849008320 is a wasteful number, since it uses less digits than its factorization.

314849008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35261 (or 35229 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 314849008320 in words is "three hundred fourteen billion, eight hundred forty-nine million, eight thousand, three hundred twenty".