314023214124 has 180 divisors, whose sum is σ = 873801451600. Its totient is φ = 98319121920.

The previous prime is 314023214117. The next prime is 314023214147. The reversal of 314023214124 is 421412320413.

314023214124 is a `hidden beast` number, since 3 + 14 + 0 + 232 + 1 + 412 + 4 = 666.

It is a super-2 number, since 2×314023214124² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 50653977 + ... + 50660175.

Almost surely, 2^314023214124 is an apocalyptic number.

314023214124 is a gapful number since it is divisible by the number (34) 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 314023214124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436900725800).

314023214124 is an abundant number, since it is smaller than the sum of its proper divisors (559778237476).

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

314023214124 is a wasteful number, since it uses less digits than its factorization.

314023214124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 314023214124 its reverse (421412320413), we get a palindrome (735435534537).

The spelling of 314023214124 in words is "three hundred fourteen billion, twenty-three million, two hundred fourteen thousand, one hundred twenty-four".