36133939607328 has 144 divisors (see below), whose sum is σ = 103671510893496. Its totient is φ = 11937334026240.

The previous prime is 36133939607291. The next prime is 36133939607347. The reversal of 36133939607328 is 82370693933163.

It is a happy number.

36133939607328 is a `hidden beast` number, since 3 + 6 + 13 + 3 + 9 + 3 + 9 + 607 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19784953088784 + 16348986518544 = 4448028^2 + 4043388^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950949226 + ... + 950987222.

Almost surely, 2^{36133939607328} 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 36133939607328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51835755446748).

36133939607328 is an abundant number, since it is smaller than the sum of its proper divisors (67537571286168).

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

36133939607328 is a wasteful number, since it uses less digits than its factorization.

36133939607328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67347 (or 67336 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 63.

The spelling of 36133939607328 in words is "thirty-six trillion, one hundred thirty-three billion, nine hundred thirty-nine million, six hundred seven thousand, three hundred twenty-eight".