225636438343680 has 6144 divisors, whose sum is σ = 1077241890816000. Its totient is φ = 44947419955200.

The previous prime is 225636438343663. The next prime is 225636438343699. The reversal of 225636438343680 is 86343834636522.

225636438343680 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 3 + 6 + 43 + 83 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a super-2 number, since 2×225636438343680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 5503327764460 + ... + 5503327764500.

It is an arithmetic number, because the mean of its divisors is an integer number (175332339000).

Almost surely, 2^{225636438343680} is an apocalyptic number.

225636438343680 is a gapful number since it is divisible by the number (20) 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 225636438343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538620945408000).

225636438343680 is an abundant number, since it is smaller than the sum of its proper divisors (851605452472320).

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

225636438343680 is an frugal number, since it uses more digits than its factorization.

225636438343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 63.

The spelling of 225636438343680 in words is "two hundred twenty-five trillion, six hundred thirty-six billion, four hundred thirty-eight million, three hundred forty-three thousand, six hundred eighty".