314118752220 has 576 divisors, whose sum is σ = 1296296991360. Its totient is φ = 62375878656.

The previous prime is 314118752209. The next prime is 314118752239. The reversal of 314118752220 is 22257811413.

314118752220 is a `hidden beast` number, since 3 + 14 + 118 + 7 + 522 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5820802 + ... + 5874518.

It is an arithmetic number, because the mean of its divisors is an integer number (2250515610).

Almost surely, 2^314118752220 is an apocalyptic number.

314118752220 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 314118752220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648148495680).

314118752220 is an abundant number, since it is smaller than the sum of its proper divisors (982178239140).

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

314118752220 is a wasteful number, since it uses less digits than its factorization.

314118752220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53779 (or 53764 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 314118752220 in words is "three hundred fourteen billion, one hundred eighteen million, seven hundred fifty-two thousand, two hundred twenty".