11726101764 has 72 divisors (see below), whose sum is σ = 33798786840. Its totient is φ = 3395791872.

The previous prime is 11726101729. The next prime is 11726101789. The reversal of 11726101764 is 46710162711.

11726101764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4827470400 + 6898631364 = 69480^2 + 83058^2 .

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 23 ways as a sum of consecutive naturals, for example, 728979 + ... + 744890.

It is an arithmetic number, because the mean of its divisors is an integer number (469427595).

Almost surely, 2^11726101764 is an apocalyptic number.

It is an amenable number.

11726101764 is an abundant number, since it is smaller than the sum of its proper divisors (22072685076).

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

11726101764 is a wasteful number, since it uses less digits than its factorization.

11726101764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473909 (or 1473904 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

It can be divided in two parts, 117 and 26101764, that added together give a square (26101881 = 5109²).

The spelling of 11726101764 in words is "eleven billion, seven hundred twenty-six million, one hundred one thousand, seven hundred sixty-four".