314045601082272 has 144 divisors (see below), whose sum is σ = 906956260217280. Its totient is φ = 103058110310400.

The previous prime is 314045601082271. The next prime is 314045601082307. The reversal of 314045601082272 is 272280106540413.

314045601082272 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 4 + 560 + 1 + 0 + 82 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (314045601082271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3016504 + ... + 25242632.

It is an arithmetic number, because the mean of its divisors is an integer number (6298307362620).

Almost surely, 2^{314045601082272} is an apocalyptic number.

314045601082272 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 314045601082272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453478130108640).

314045601082272 is an abundant number, since it is smaller than the sum of its proper divisors (592910659135008).

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

314045601082272 is a wasteful number, since it uses less digits than its factorization.

314045601082272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22226907 (or 22226896 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 314045601082272 in words is "three hundred fourteen trillion, forty-five billion, six hundred one million, eighty-two thousand, two hundred seventy-two".