225194688000 has 800 divisors, whose sum is σ = 878123394720. Its totient is φ = 56891289600.

The previous prime is 225194687983. The next prime is 225194688013. The reversal of 225194688000 is 886491522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 225194688000 = 760³ + 6080³ = 3420³ + 5700³.

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 79 ways as a sum of consecutive naturals, for example, 11852351991 + ... + 11852352009.

Almost surely, 2^225194688000 is an apocalyptic number.

225194688000 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 225194688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439061697360).

225194688000 is an abundant number, since it is smaller than the sum of its proper divisors (652928706720).

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

225194688000 is an frugal number, since it uses more digits than its factorization.

225194688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 225194688000 in words is "two hundred twenty-five billion, one hundred ninety-four million, six hundred eighty-eight thousand".