225694909440 has 2112 divisors, whose sum is σ = 1100852363520. Its totient is φ = 43104337920.

The previous prime is 225694909423. The next prime is 225694909459. The reversal of 225694909440 is 44909496522.

225694909440 is a `hidden beast` number, since 2 + 2 + 5 + 69 + 490 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×225694909440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 968647564 + ... + 968647796.

Almost surely, 2^225694909440 is an apocalyptic number.

225694909440 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 225694909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550426181760).

225694909440 is an abundant number, since it is smaller than the sum of its proper divisors (875157454080).

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

225694909440 is a wasteful number, since it uses less digits than its factorization.

225694909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 225694909440 in words is "two hundred twenty-five billion, six hundred ninety-four million, nine hundred nine thousand, four hundred forty".