314153375472144 has 100 divisors (see below), whose sum is σ = 979193397461356. Its totient is φ = 96662577063168.

The previous prime is 314153375472137. The next prime is 314153375472179. The reversal of 314153375472144 is 441274573351413.

314153375472144 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 5 + 3 + 37 + 547 + 21 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12880289343744 + 301273086128400 = 3588912^2 + 17357220^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9323148379 + ... + 9323182074.

Almost surely, 2^{314153375472144} is an apocalyptic number.

It is an amenable number.

314153375472144 is an abundant number, since it is smaller than the sum of its proper divisors (665040021989212).

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

314153375472144 is a wasteful number, since it uses less digits than its factorization.

314153375472144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18646330486 (or 18646330471 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 314153375472144 in words is "three hundred fourteen trillion, one hundred fifty-three billion, three hundred seventy-five million, four hundred seventy-two thousand, one hundred forty-four".