11256884415 has 80 divisors (see below), whose sum is σ = 23346895200. Its totient is φ = 5145856128.

The previous prime is 11256884399. The next prime is 11256884459. The reversal of 11256884415 is 51448865211.

11256884415 is a `hidden beast` number, since 1 + 1 + 2 + 568 + 84 + 4 + 1 + 5 = 666.

It is not a de Polignac number, because 11256884415 - 2⁴ = 11256884399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 306771 + ... + 341499.

It is an arithmetic number, because the mean of its divisors is an integer number (291836190).

Almost surely, 2^11256884415 is an apocalyptic number.

11256884415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11256884415 is an abundant number, since it is smaller than the sum of its proper divisors (12090010785).

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

11256884415 is an frugal number, since it uses more digits than its factorization.

11256884415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34771 (or 34744 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The spelling of 11256884415 in words is "eleven billion, two hundred fifty-six million, eight hundred eighty-four thousand, four hundred fifteen".