225682494503040 has 3584 divisors, whose sum is σ = 923045001338880. Its totient is φ = 52457766912000.

The previous prime is 225682494503017. The next prime is 225682494503083. The reversal of 225682494503040 is 40305494286522.

225682494503040 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 8 + 2 + 4 + 94 + 503 + 0 + 40 = 666.

It is a super-2 number, since 2×225682494503040² (a number of 30 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 polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 614938676937 + ... + 614938677303.

It is an arithmetic number, because the mean of its divisors is an integer number (257546038320).

Almost surely, 2^{225682494503040} is an apocalyptic number.

225682494503040 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 225682494503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461522500669440).

225682494503040 is an abundant number, since it is smaller than the sum of its proper divisors (697362506835840).

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

225682494503040 is a wasteful number, since it uses less digits than its factorization.

225682494503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 225682494503040 in words is "two hundred twenty-five trillion, six hundred eighty-two billion, four hundred ninety-four million, five hundred three thousand, forty".