314891254587072 has 112 divisors (see below), whose sum is σ = 839751550668800. Its totient is φ = 104132113892352.

The previous prime is 314891254587071. The next prime is 314891254587073. The reversal of 314891254587072 is 270785452198413.

It is an interprime number because it is at equal distance from previous prime (314891254587071) and next prime (314891254587073).

It is a junction number, because it is equal to n+sod(n) for n = 314891254586994 and 314891254587012.

It is not an unprimeable number, because it can be changed into a prime (314891254587071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509292258 + ... + 509910174.

It is an arithmetic number, because the mean of its divisors is an integer number (7497781702400).

Almost surely, 2^{314891254587072} is an apocalyptic number.

314891254587072 is a gapful number since it is divisible by the number (32) 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 314891254587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419875775334400).

314891254587072 is an abundant number, since it is smaller than the sum of its proper divisors (524860296081728).

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

314891254587072 is a wasteful number, since it uses less digits than its factorization.

314891254587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638958 (or 638948 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 66.

The spelling of 314891254587072 in words is "three hundred fourteen trillion, eight hundred ninety-one billion, two hundred fifty-four million, five hundred eighty-seven thousand, seventy-two".