36181982178216 has 256 divisors, whose sum is σ = 116843558400000. Its totient is φ = 10159598036736.

The previous prime is 36181982178197. The next prime is 36181982178227. The reversal of 36181982178216 is 61287128918163.

36181982178216 is a `hidden beast` number, since 3 + 6 + 18 + 198 + 217 + 8 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323144610 + ... + 323256558.

It is an arithmetic number, because the mean of its divisors is an integer number (456420150000).

Almost surely, 2^{36181982178216} is an apocalyptic number.

36181982178216 is a gapful number since it is divisible by the number (36) 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 36181982178216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58421779200000).

36181982178216 is an abundant number, since it is smaller than the sum of its proper divisors (80661576221784).

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

36181982178216 is a wasteful number, since it uses less digits than its factorization.

36181982178216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115653 (or 115643 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 36181982178216 in words is "thirty-six trillion, one hundred eighty-one billion, nine hundred eighty-two million, one hundred seventy-eight thousand, two hundred sixteen".