314381973913920 has 1008 divisors, whose sum is σ = 1253641296136320. Its totient is φ = 72058251386880.

The previous prime is 314381973913919. The next prime is 314381973913963. The reversal of 314381973913920 is 29319379183413.

314381973913920 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 8 + 197 + 391 + 39 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3330376162 + ... + 3330470558.

It is an arithmetic number, because the mean of its divisors is an integer number (1243691762040).

Almost surely, 2^{314381973913920} is an apocalyptic number.

314381973913920 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 314381973913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626820648068160).

314381973913920 is an abundant number, since it is smaller than the sum of its proper divisors (939259322222400).

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

314381973913920 is a wasteful number, since it uses less digits than its factorization.

314381973913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94964 (or 94940 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 314381973913920 in words is "three hundred fourteen trillion, three hundred eighty-one billion, nine hundred seventy-three million, nine hundred thirteen thousand, nine hundred twenty".