11513016021456 has 120 divisors (see below), whose sum is σ = 34144468754760. Its totient is φ = 3614964326400.

The previous prime is 11513016021373. The next prime is 11513016021487. The reversal of 11513016021456 is 65412061031511.

11513016021456 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 3 + 0 + 1 + 602 + 1 + 45 + 6 = 666.

11513016021456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 604792403856 + 10908223617600 = 777684^2 + 3302760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11513016021456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33450105 + ... + 33792536.

It is an arithmetic number, because the mean of its divisors is an integer number (284537239623).

Almost surely, 2^{11513016021456} is an apocalyptic number.

11513016021456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11513016021456 is an abundant number, since it is smaller than the sum of its proper divisors (22631452733304).

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

11513016021456 is a wasteful number, since it uses less digits than its factorization.

11513016021456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67242725 (or 67242716 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 11513016021456 its reverse (65412061031511), we get a palindrome (76925077052967).

The spelling of 11513016021456 in words is "eleven trillion, five hundred thirteen billion, sixteen million, twenty-one thousand, four hundred fifty-six".