314791438104 has 256 divisors, whose sum is σ = 1062718272000. Its totient is φ = 85016977920.

The previous prime is 314791438103. The next prime is 314791438201. The reversal of 314791438104 is 401834197413.

It is a happy number.

314791438104 is a `hidden beast` number, since 31 + 479 + 1 + 43 + 8 + 104 = 666.

It is a super-2 number, since 2×314791438104² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314791438104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314791438103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 720039 + ... + 1071465.

It is an arithmetic number, because the mean of its divisors is an integer number (4151243250).

Almost surely, 2^314791438104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314791438104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531359136000).

314791438104 is an abundant number, since it is smaller than the sum of its proper divisors (747926833896).

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

314791438104 is a wasteful number, since it uses less digits than its factorization.

314791438104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351495 (or 351485 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 314791438104 in words is "three hundred fourteen billion, seven hundred ninety-one million, four hundred thirty-eight thousand, one hundred four".