314220497724 has 288 divisors, whose sum is σ = 951035904000. Its totient is φ = 88860784320.

The previous prime is 314220497711. The next prime is 314220497771. The reversal of 314220497724 is 427794022413.

314220497724 is a `hidden beast` number, since 31 + 42 + 20 + 497 + 72 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 314220497724.

It is a congruent number.

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, 323604559 + ... + 323605529.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208000).

Almost surely, 2^314220497724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314220497724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952000).

314220497724 is an abundant number, since it is smaller than the sum of its proper divisors (636815406276).

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

314220497724 is a wasteful number, since it uses less digits than its factorization.

314220497724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 314220497724 in words is "three hundred fourteen billion, two hundred twenty million, four hundred ninety-seven thousand, seven hundred twenty-four".