314628196320 has 432 divisors, whose sum is σ = 1182825313488. Its totient is φ = 78962688000.

The previous prime is 314628196301. The next prime is 314628196361. The reversal of 314628196320 is 23691826413.

314628196320 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 2 + 8 + 1 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11222320 + ... + 11250320.

It is an arithmetic number, because the mean of its divisors is an integer number (2738021559).

Almost surely, 2^314628196320 is an apocalyptic number.

314628196320 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 314628196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591412656744).

314628196320 is an abundant number, since it is smaller than the sum of its proper divisors (868197117168).

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

314628196320 is a wasteful number, since it uses less digits than its factorization.

314628196320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28065 (or 28028 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 314628196320 in words is "three hundred fourteen billion, six hundred twenty-eight million, one hundred ninety-six thousand, three hundred twenty".