11513001038416 has 80 divisors (see below), whose sum is σ = 23166928627920. Its totient is φ = 5538350039040.

The previous prime is 11513001038389. The next prime is 11513001038437. The reversal of 11513001038416 is 61483010031511.

It can be written as a sum of positive squares in 8 ways, for example, as 3970837348416 + 7542163690000 = 1992696^2 + 2746300^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439263520 + ... + 439289728.

It is an arithmetic number, because the mean of its divisors is an integer number (289586607849).

Almost surely, 2^{11513001038416} is an apocalyptic number.

11513001038416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11513001038416 is an abundant number, since it is smaller than the sum of its proper divisors (11653927589504).

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

11513001038416 is a wasteful number, since it uses less digits than its factorization.

11513001038416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35504 (or 35498 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

Adding to 11513001038416 its reverse (61483010031511), we get a palindrome (72996011069927).

The spelling of 11513001038416 in words is "eleven trillion, five hundred thirteen billion, one million, thirty-eight thousand, four hundred sixteen".