314245793946240 has 6144 divisors, whose sum is σ = 1430653877452800. Its totient is φ = 65193824747520.

The previous prime is 314245793946233. The next prime is 314245793946251. The reversal of 314245793946240 is 42649397542413.

314245793946240 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 4 + 579 + 39 + 4 + 6 + 24 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 7308041719659 + ... + 7308041719701.

It is an arithmetic number, because the mean of its divisors is an integer number (232853821200).

Almost surely, 2^{314245793946240} is an apocalyptic number.

314245793946240 is a gapful number since it is divisible by the number (30) 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 314245793946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715326938726400).

314245793946240 is an abundant number, since it is smaller than the sum of its proper divisors (1116408083506560).

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

314245793946240 is a wasteful number, since it uses less digits than its factorization.

314245793946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 314245793946240 in words is "three hundred fourteen trillion, two hundred forty-five billion, seven hundred ninety-three million, nine hundred forty-six thousand, two hundred forty".