18225536364 has 288 divisors, whose sum is σ = 56871360000. Its totient is φ = 4805941248.

The previous prime is 18225536363. The next prime is 18225536389. The reversal of 18225536364 is 46363552281.

18225536364 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 5 + 5 + 3 + 636 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (18225536363) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 42091092 + ... + 42091524.

It is an arithmetic number, because the mean of its divisors is an integer number (197470000).

Almost surely, 2^18225536364 is an apocalyptic number.

18225536364 is a gapful number since it is divisible by the number (14) 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 18225536364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680000).

18225536364 is an abundant number, since it is smaller than the sum of its proper divisors (38645823636).

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

18225536364 is a wasteful number, since it uses less digits than its factorization.

18225536364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 672 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 18225536364 in words is "eighteen billion, two hundred twenty-five million, five hundred thirty-six thousand, three hundred sixty-four".