36748383336000 has 1344 divisors, whose sum is σ = 159382839642624. Its totient is φ = 7890075648000.

The previous prime is 36748383335971. The next prime is 36748383336011. The reversal of 36748383336000 is 63338384763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4686692080 + ... + 4686699920.

Almost surely, 2^{36748383336000} is an apocalyptic number.

36748383336000 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 36748383336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79691419821312).

36748383336000 is an abundant number, since it is smaller than the sum of its proper divisors (122634456306624).

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

36748383336000 is a wasteful number, since it uses less digits than its factorization.

36748383336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445 (or 8422 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 36748383336000 in words is "thirty-six trillion, seven hundred forty-eight billion, three hundred eighty-three million, three hundred thirty-six thousand".