36225233856 has 448 divisors, whose sum is σ = 124533964800. Its totient is φ = 10113113088.

The previous prime is 36225233851. The next prime is 36225233897. The reversal of 36225233856 is 65833252263.

36225233856 is a `hidden beast` number, since 3 + 62 + 252 + 338 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36225233851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159582415 + ... + 159582641.

It is an arithmetic number, because the mean of its divisors is an integer number (277977600).

Almost surely, 2^36225233856 is an apocalyptic number.

36225233856 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 36225233856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62266982400).

36225233856 is an abundant number, since it is smaller than the sum of its proper divisors (88308730944).

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

36225233856 is a wasteful number, since it uses less digits than its factorization.

36225233856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 485 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 36225233856 in words is "thirty-six billion, two hundred twenty-five million, two hundred thirty-three thousand, eight hundred fifty-six".