11661164712 has 72 divisors (see below), whose sum is σ = 32709089790. Its totient is φ = 3752999040.

The previous prime is 11661164699. The next prime is 11661164717. The reversal of 11661164712 is 21746116611.

11661164712 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 1 + 1 + 647 + 1 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11481979716 + 179184996 = 107154^2 + 13386^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11661164717) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35739 + ... + 156842.

Almost surely, 2^11661164712 is an apocalyptic number.

11661164712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11661164712 is an abundant number, since it is smaller than the sum of its proper divisors (21047925078).

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

11661164712 is a wasteful number, since it uses less digits than its factorization.

11661164712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192651 (or 192615 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The spelling of 11661164712 in words is "eleven billion, six hundred sixty-one million, one hundred sixty-four thousand, seven hundred twelve".