314894081250 has 480 divisors, whose sum is σ = 1067423930496. Its totient is φ = 67728960000.

The previous prime is 314894081239. The next prime is 314894081263. The reversal of 314894081250 is 52180498413.

314894081250 is a `hidden beast` number, since 3 + 1 + 489 + 40 + 8 + 125 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 314894081196 and 314894081205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 60241137 + ... + 60246363.

Almost surely, 2^314894081250 is an apocalyptic number.

314894081250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314894081250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533711965248).

314894081250 is an abundant number, since it is smaller than the sum of its proper divisors (752529849246).

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

314894081250 is an equidigital number, since it uses as much as digits as its factorization.

314894081250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 314894081250 in words is "three hundred fourteen billion, eight hundred ninety-four million, eighty-one thousand, two hundred fifty".