225436623840 has 216 divisors, whose sum is σ = 788532066504. Its totient is φ = 58649548800.

The previous prime is 225436623827. The next prime is 225436623871. The reversal of 225436623840 is 48326634522.

225436623840 is a `hidden beast` number, since 2 + 2 + 54 + 366 + 238 + 4 + 0 = 666.

225436623840 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 (45).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2374075 + ... + 2467205.

It is an arithmetic number, because the mean of its divisors is an integer number (3650611419).

Almost surely, 2^225436623840 is an apocalyptic number.

225436623840 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 225436623840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394266033252).

225436623840 is an abundant number, since it is smaller than the sum of its proper divisors (563095442664).

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

225436623840 is a wasteful number, since it uses less digits than its factorization.

225436623840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93234 (or 93182 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 225436623840 in words is "two hundred twenty-five billion, four hundred thirty-six million, six hundred twenty-three thousand, eight hundred forty".