1413113346704 has 120 divisors (see below), whose sum is σ = 2952320586264. Its totient is φ = 652905676800.

The previous prime is 1413113346703. The next prime is 1413113346713. The reversal of 1413113346704 is 4076433113141.

It can be written as a sum of positive squares in 4 ways, for example, as 25542432400 + 1387570914304 = 159820^2 + 1177952^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1413113346703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452774264 + ... + 452777384.

Almost surely, 2^{1413113346704} 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 1413113346704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476160293132).

1413113346704 is an abundant number, since it is smaller than the sum of its proper divisors (1539207239560).

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

1413113346704 is a wasteful number, since it uses less digits than its factorization.

1413113346704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

Adding to 1413113346704 its reverse (4076433113141), we get a palindrome (5489546459845).

The spelling of 1413113346704 in words is "one trillion, four hundred thirteen billion, one hundred thirteen million, three hundred forty-six thousand, seven hundred four".