11246659788816 has 135 divisors (see below), whose sum is σ = 31801239501213. Its totient is φ = 3710427465600.

The previous prime is 11246659788809. The next prime is 11246659788839. The reversal of 11246659788816 is 61888795664211.

It is a happy number.

The square root of 11246659788816 is 3353604.

It is a perfect power (a square), and thus also a powerful number.

11246659788816 is a `hidden beast` number, since 1 + 1 + 2 + 466 + 5 + 9 + 7 + 88 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10805657542416 + 441002246400 = 3287196^2 + 664080^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4064566665 + ... + 4064569431.

Almost surely, 2^{11246659788816} is an apocalyptic number.

11246659788816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11246659788816 is the 3353604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11246659788816

11246659788816 is an abundant number, since it is smaller than the sum of its proper divisors (20554579712397).

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

11246659788816 is an frugal number, since it uses more digits than its factorization.

11246659788816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 2873 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 11246659788816 in words is "eleven trillion, two hundred forty-six billion, six hundred fifty-nine million, seven hundred eighty-eight thousand, eight hundred sixteen".