36181398528 has 528 divisors, whose sum is σ = 122010370560. Its totient is φ = 10218700800.

The previous prime is 36181398523. The next prime is 36181398553. The reversal of 36181398528 is 82589318163.

36181398528 is a `hidden beast` number, since 3 + 6 + 1 + 81 + 39 + 8 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36181398523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91136826 + ... + 91137222.

Almost surely, 2^36181398528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36181398528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61005185280).

36181398528 is an abundant number, since it is smaller than the sum of its proper divisors (85828972032).

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

36181398528 is a wasteful number, since it uses less digits than its factorization.

36181398528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 473 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 36181398528 in words is "thirty-six billion, one hundred eighty-one million, three hundred ninety-eight thousand, five hundred twenty-eight".