314207838144 has 168 divisors, whose sum is σ = 923381529408. Its totient is φ = 102106398720.

The previous prime is 314207838101. The next prime is 314207838193. The reversal of 314207838144 is 441838702413.

314207838144 is a `hidden beast` number, since 3 + 1 + 420 + 7 + 83 + 8 + 144 = 666.

It is a super-2 number, since 2×314207838144² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314207838144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6934924 + ... + 6980084.

Almost surely, 2^314207838144 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 314207838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461690764704).

314207838144 is an abundant number, since it is smaller than the sum of its proper divisors (609173691264).

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

314207838144 is a wasteful number, since it uses less digits than its factorization.

314207838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45483 (or 45470 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 314207838144 in words is "three hundred fourteen billion, two hundred seven million, eight hundred thirty-eight thousand, one hundred forty-four".