11835086126656 has 189 divisors, whose sum is σ = 26855104789683. Its totient is φ = 5171883125760.

The previous prime is 11835086126653. The next prime is 11835086126657. The reversal of 11835086126656 is 65662168053811.

It is a happy number.

The square root of 11835086126656 is 3440216.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9790140366400 + 2044945760256 = 3128920^2 + 1430016^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11835086126656.

It is not an unprimeable number, because it can be changed into a prime (11835086126653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6797865946 + ... + 6797867686.

Almost surely, 2^{11835086126656} is an apocalyptic number.

11835086126656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11835086126656 is the 3440216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11835086126656

11835086126656 is an abundant number, since it is smaller than the sum of its proper divisors (15020018663027).

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

11835086126656 is an frugal number, since it uses more digits than its factorization.

11835086126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 58.

The spelling of 11835086126656 in words is "eleven trillion, eight hundred thirty-five billion, eighty-six million, one hundred twenty-six thousand, six hundred fifty-six".