314220211620 has 288 divisors, whose sum is σ = 1086207978240. Its totient is φ = 67438264320.

The previous prime is 314220211601. The next prime is 314220211633. The reversal of 314220211620 is 26112022413.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21934060 + ... + 21948380.

It is an arithmetic number, because the mean of its divisors is an integer number (3771555480).

Almost surely, 2^314220211620 is an apocalyptic number.

314220211620 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 314220211620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543103989120).

314220211620 is an abundant number, since it is smaller than the sum of its proper divisors (771987766620).

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

314220211620 is a wasteful number, since it uses less digits than its factorization.

314220211620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14803 (or 14794 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 314220211620 in words is "three hundred fourteen billion, two hundred twenty million, two hundred eleven thousand, six hundred twenty".