314873109408 has 192 divisors, whose sum is σ = 974177777664. Its totient is φ = 87792000000.

The previous prime is 314873109403. The next prime is 314873109409. The reversal of 314873109408 is 804901378413.

It is a happy number.

It is a super-2 number, since 2×314873109408² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (314873109403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4232533 + ... + 4306283.

It is an arithmetic number, because the mean of its divisors is an integer number (5073842592).

Almost surely, 2^314873109408 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 314873109408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487088888832).

314873109408 is an abundant number, since it is smaller than the sum of its proper divisors (659304668256).

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

314873109408 is a wasteful number, since it uses less digits than its factorization.

314873109408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74099 (or 74091 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 314873109408 in words is "three hundred fourteen billion, eight hundred seventy-three million, one hundred nine thousand, four hundred eight".