225199629864 has 448 divisors, whose sum is σ = 704713236480. Its totient is φ = 66869712000.

The previous prime is 225199629817. The next prime is 225199629917. The reversal of 225199629864 is 468926991522.

225199629864 is a `hidden beast` number, since 2 + 2 + 519 + 96 + 29 + 8 + 6 + 4 = 666.

225199629864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 1067296719 + ... + 1067296929.

Almost surely, 2^225199629864 is an apocalyptic number.

225199629864 is a gapful number since it is divisible by the number (24) 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 225199629864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352356618240).

225199629864 is an abundant number, since it is smaller than the sum of its proper divisors (479513606616).

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

225199629864 is a wasteful number, since it uses less digits than its factorization.

225199629864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 225199629864 in words is "two hundred twenty-five billion, one hundred ninety-nine million, six hundred twenty-nine thousand, eight hundred sixty-four".