225951654600000 has 3024 divisors, whose sum is σ = 1017902651560704. Its totient is φ = 48574494720000.

The previous prime is 225951654599999. The next prime is 225951654600029. The reversal of 225951654600000 is 6456159522.

225951654600000 is a `hidden beast` number, since 2 + 2 + 5 + 95 + 16 + 546 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 156151799277 + ... + 156151800723.

It is an arithmetic number, because the mean of its divisors is an integer number (336608019696).

Almost surely, 2^{225951654600000} is an apocalyptic number.

225951654600000 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 225951654600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508951325780352).

225951654600000 is an abundant number, since it is smaller than the sum of its proper divisors (791950996960704).

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

225951654600000 is an frugal number, since it uses more digits than its factorization.

225951654600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 225951654600000 in words is "two hundred twenty-five trillion, nine hundred fifty-one billion, six hundred fifty-four million, six hundred thousand".