36225106016 has 96 divisors (see below), whose sum is σ = 78851646720. Its totient is φ = 16244928000.

The previous prime is 36225105991. The next prime is 36225106069. The reversal of 36225106016 is 61060152263.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10912805 + ... + 10916123.

It is an arithmetic number, because the mean of its divisors is an integer number (821371320).

Almost surely, 2^36225106016 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 36225106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39425823360).

36225106016 is an abundant number, since it is smaller than the sum of its proper divisors (42626540704).

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

36225106016 is a wasteful number, since it uses less digits than its factorization.

36225106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 36225106016 its reverse (61060152263), we get a palindrome (97285258279).

It can be divided in two parts, 36225 and 106016, that added together give a palindrome (142241).

The spelling of 36225106016 in words is "thirty-six billion, two hundred twenty-five million, one hundred six thousand, sixteen".