225126499824 has 200 divisors, whose sum is σ = 692744402592. Its totient is φ = 70424640000.

The previous prime is 225126499823. The next prime is 225126499849. The reversal of 225126499824 is 428994621522.

225126499824 is a `hidden beast` number, since 2 + 2 + 5 + 126 + 499 + 8 + 24 = 666.

225126499824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225126499823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1508574 + ... + 1651074.

Almost surely, 2^225126499824 is an apocalyptic number.

225126499824 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 225126499824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346372201296).

225126499824 is an abundant number, since it is smaller than the sum of its proper divisors (467617902768).

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

225126499824 is a wasteful number, since it uses less digits than its factorization.

225126499824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142597 (or 142582 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 225126499824 in words is "two hundred twenty-five billion, one hundred twenty-six million, four hundred ninety-nine thousand, eight hundred twenty-four".