36008144487744 has 224 divisors, whose sum is σ = 112614099408384. Its totient is φ = 10010414315520.

The previous prime is 36008144487739. The next prime is 36008144487751. The reversal of 36008144487744 is 44778444180063.

It is a super-2 number, since 2×36008144487744² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452367 + ... + 8498289.

It is an arithmetic number, because the mean of its divisors is an integer number (502741515216).

Almost surely, 2^{36008144487744} 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 36008144487744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56307049704192).

36008144487744 is an abundant number, since it is smaller than the sum of its proper divisors (76605954920640).

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

36008144487744 is a wasteful number, since it uses less digits than its factorization.

36008144487744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046125 (or 8046115 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 60.

The spelling of 36008144487744 in words is "thirty-six trillion, eight billion, one hundred forty-four million, four hundred eighty-seven thousand, seven hundred forty-four".