36341091118080 has 3168 divisors, whose sum is σ = 161489247768576. Its totient is φ = 7372498010112.

The previous prime is 36341091118061. The next prime is 36341091118081. The reversal of 36341091118080 is 8081119014363.

36341091118080 is a `hidden beast` number, since 3 + 63 + 410 + 91 + 1 + 18 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36341091118081) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 352826127309 + ... + 352826127411.

Almost surely, 2^{36341091118080} is an apocalyptic number.

36341091118080 is a gapful number since it is divisible by the number (30) 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 36341091118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80744623884288).

36341091118080 is an abundant number, since it is smaller than the sum of its proper divisors (125148156650496).

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

36341091118080 is a wasteful number, since it uses less digits than its factorization.

36341091118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 36341091118080 in words is "thirty-six trillion, three hundred forty-one billion, ninety-one million, one hundred eighteen thousand, eighty".