11511838491408 has 30 divisors (see below), whose sum is σ = 32217159111774. Its totient is φ = 3837279497088.

The previous prime is 11511838491317. The next prime is 11511838491427. The reversal of 11511838491408 is 80419483811511.

11511838491408 is a `hidden beast` number, since 1 + 1 + 5 + 118 + 38 + 4 + 91 + 408 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7088522855184 + 4423315636224 = 2662428^2 + 2103168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39971661285 + ... + 39971661572.

Almost surely, 2^{11511838491408} is an apocalyptic number.

11511838491408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11511838491408 is an abundant number, since it is smaller than the sum of its proper divisors (20705320620366).

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

11511838491408 is a wasteful number, since it uses less digits than its factorization.

11511838491408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79943322871 (or 79943322862 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 11511838491408 in words is "eleven trillion, five hundred eleven billion, eight hundred thirty-eight million, four hundred ninety-one thousand, four hundred eight".