36221524416 has 420 divisors, whose sum is σ = 132185307384. Its totient is φ = 9404236800.

The previous prime is 36221524387. The next prime is 36221524421. The reversal of 36221524416 is 61442512263.

36221524416 is a `hidden beast` number, since 3 + 6 + 2 + 215 + 24 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15211546 + ... + 15213926.

Almost surely, 2^36221524416 is an apocalyptic number.

36221524416 is a gapful number since it is divisible by the number (36) 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 36221524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66092653692).

36221524416 is an abundant number, since it is smaller than the sum of its proper divisors (95963782968).

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

36221524416 is a wasteful number, since it uses less digits than its factorization.

36221524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2404 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 36221524416 in words is "thirty-six billion, two hundred twenty-one million, five hundred twenty-four thousand, four hundred sixteen".