313614421146 has 72 divisors (see below), whose sum is σ = 737387046396. Its totient is φ = 96286993920.

The previous prime is 313614421103. The next prime is 313614421147. The reversal of 313614421146 is 641124416313.

313614421146 is a `hidden beast` number, since 3 + 1 + 3 + 614 + 4 + 21 + 14 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 87216921 + 313527204225 = 9339^2 + 559935^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 313614421146.

It is not an unprimeable number, because it can be changed into a prime (313614421147) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1290546 + ... + 1514178.

Almost surely, 2^313614421146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313614421146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368693523198).

313614421146 is an abundant number, since it is smaller than the sum of its proper divisors (423772625250).

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

313614421146 is a wasteful number, since it uses less digits than its factorization.

313614421146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224128 (or 224112 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 313614421146 its reverse (641124416313), we get a palindrome (954738837459).

The spelling of 313614421146 in words is "three hundred thirteen billion, six hundred fourteen million, four hundred twenty-one thousand, one hundred forty-six".