225914678820864 has 1440 divisors, whose sum is σ = 752801577615360. Its totient is φ = 64656506880000.

The previous prime is 225914678820823. The next prime is 225914678820881. The reversal of 225914678820864 is 468028876419522.

It is a happy number.

225914678820864 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 1 + 467 + 8 + 82 + 0 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 225914678820792 and 225914678820801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803966828404 + ... + 803966828684.

It is an arithmetic number, because the mean of its divisors is an integer number (522778873344).

Almost surely, 2^{225914678820864} is an apocalyptic number.

225914678820864 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 225914678820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376400788807680).

225914678820864 is an abundant number, since it is smaller than the sum of its proper divisors (526886898794496).

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

225914678820864 is a wasteful number, since it uses less digits than its factorization.

225914678820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 225914678820864 in words is "two hundred twenty-five trillion, nine hundred fourteen billion, six hundred seventy-eight million, eight hundred twenty thousand, eight hundred sixty-four".