314225515142316 has 576 divisors, whose sum is σ = 855253808922240. Its totient is φ = 100827920793600.

The previous prime is 314225515142311. The next prime is 314225515142353. The reversal of 314225515142316 is 613241515522413.

314225515142316 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 2 + 551 + 51 + 42 + 3 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (314225515142311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 509279602840 + ... + 509279603456.

It is an arithmetic number, because the mean of its divisors is an integer number (1484815640490).

Almost surely, 2^{314225515142316} is an apocalyptic number.

314225515142316 is a gapful number since it is divisible by the number (36) 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 314225515142316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427626904461120).

314225515142316 is an abundant number, since it is smaller than the sum of its proper divisors (541028293779924).

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

314225515142316 is a wasteful number, since it uses less digits than its factorization.

314225515142316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1442 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 314225515142316 in words is "three hundred fourteen trillion, two hundred twenty-five billion, five hundred fifteen million, one hundred forty-two thousand, three hundred sixteen".