225966703104 has 480 divisors, whose sum is σ = 700941136896. Its totient is φ = 72619130880.

The previous prime is 225966703063. The next prime is 225966703147. The reversal of 225966703104 is 401307669522.

225966703104 is a `hidden beast` number, since 22 + 596 + 6 + 7 + 0 + 31 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225966703104.

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 47 ways as a sum of consecutive naturals, for example, 879247744 + ... + 879248000.

Almost surely, 2^225966703104 is an apocalyptic number.

225966703104 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 225966703104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350470568448).

225966703104 is an abundant number, since it is smaller than the sum of its proper divisors (474974433792).

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

225966703104 is an equidigital number, since it uses as much as digits as its factorization.

225966703104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 225966703104 in words is "two hundred twenty-five billion, nine hundred sixty-six million, seven hundred three thousand, one hundred four".