36146512003632 has 320 divisors, whose sum is σ = 97087585520640. Its totient is φ = 11580983672832.

The previous prime is 36146512003619. The next prime is 36146512003661. The reversal of 36146512003632 is 23630021564163.

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, 27869322408 + ... + 27869323704.

It is an arithmetic number, because the mean of its divisors is an integer number (303398704752).

Almost surely, 2^{36146512003632} 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 36146512003632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48543792760320).

36146512003632 is an abundant number, since it is smaller than the sum of its proper divisors (60941073517008).

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

36146512003632 is a wasteful number, since it uses less digits than its factorization.

36146512003632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

Adding to 36146512003632 its reverse (23630021564163), we get a palindrome (59776533567795).

The spelling of 36146512003632 in words is "thirty-six trillion, one hundred forty-six billion, five hundred twelve million, three thousand, six hundred thirty-two".