225424142496 has 432 divisors, whose sum is σ = 762320692224. Its totient is φ = 62987839488.

The previous prime is 225424142453. The next prime is 225424142501. The reversal of 225424142496 is 694241424522.

225424142496 is a `hidden beast` number, since 2 + 2 + 542 + 4 + 14 + 2 + 4 + 96 = 666.

It is a super-2 number, since 2×225424142496² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130831491 + ... + 130833213.

It is an arithmetic number, because the mean of its divisors is an integer number (1764631232).

Almost surely, 2^225424142496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225424142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381160346112).

225424142496 is an abundant number, since it is smaller than the sum of its proper divisors (536896549728).

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

225424142496 is a wasteful number, since it uses less digits than its factorization.

225424142496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1935 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 225424142496 in words is "two hundred twenty-five billion, four hundred twenty-four million, one hundred forty-two thousand, four hundred ninety-six".