11682151056 has 45 divisors (see below), whose sum is σ = 32697427971. Its totient is φ = 3893618016.

The previous prime is 11682151049. The next prime is 11682151067. The reversal of 11682151056 is 65015128611.

The square root of 11682151056 is 108084.

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

11682151056 is a `hidden beast` number, since 1 + 16 + 82 + 1 + 510 + 56 = 666.

11682151056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11682151056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1292505 + ... + 1301511.

Almost surely, 2^11682151056 is an apocalyptic number.

11682151056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11682151056 is the 108084-th square number.

It is an amenable number.

11682151056 is an abundant number, since it is smaller than the sum of its proper divisors (21015276915).

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

11682151056 is an frugal number, since it uses more digits than its factorization.

11682151056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18028 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

Multiplying 11682151056 by its sum of digits (36), we get a square (420557438016 = 648504²).

11682151056 divided by its sum of digits (36) gives a square (324504196 = 18014²).

Multiplying 11682151056 by its product of nonzero digits (14400), we get a square (168222975206400 = 12970080²).

Adding to 11682151056 its reverse (65015128611), we get a palindrome (76697279667).

The spelling of 11682151056 in words is "eleven billion, six hundred eighty-two million, one hundred fifty-one thousand, fifty-six".