36166321152 has 440 divisors, whose sum is σ = 123211402776. Its totient is φ = 10468196352.

The previous prime is 36166321141. The next prime is 36166321157. The reversal of 36166321152 is 25112366163.

36166321152 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 632 + 1 + 15 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1337803776 + 34828517376 = 36576^2 + 186624^2 .

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 (36166321157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18329638 + ... + 18331610.

Almost surely, 2^36166321152 is an apocalyptic number.

36166321152 is a gapful number since it is divisible by the number (32) 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 36166321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61605701388).

36166321152 is an abundant number, since it is smaller than the sum of its proper divisors (87045081624).

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

36166321152 is a wasteful number, since it uses less digits than its factorization.

36166321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2008 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 36166321152 in words is "thirty-six billion, one hundred sixty-six million, three hundred twenty-one thousand, one hundred fifty-two".