11706012864 has 896 divisors, whose sum is σ = 46700236800. Its totient is φ = 2786918400.

The previous prime is 11706012853. The next prime is 11706012907. The reversal of 11706012864 is 46821060711.

It is a happy number.

11706012864 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 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 127 ways as a sum of consecutive naturals, for example, 77523189 + ... + 77523339.

It is an arithmetic number, because the mean of its divisors is an integer number (52120800).

Almost surely, 2^11706012864 is an apocalyptic number.

11706012864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11706012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350118400).

11706012864 is an abundant number, since it is smaller than the sum of its proper divisors (34994223936).

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

11706012864 is a wasteful number, since it uses less digits than its factorization.

11706012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11706012864 in words is "eleven billion, seven hundred six million, twelve thousand, eight hundred sixty-four".