225190437984 has 240 divisors, whose sum is σ = 731728232928. Its totient is φ = 67576025088.

The previous prime is 225190437973. The next prime is 225190438003. The reversal of 225190437984 is 489734091522.

225190437984 is a `hidden beast` number, since 2 + 2 + 5 + 190 + 4 + 379 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225190437984.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 902374 + ... + 1124570.

Almost surely, 2^225190437984 is an apocalyptic number.

225190437984 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 225190437984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365864116464).

225190437984 is an abundant number, since it is smaller than the sum of its proper divisors (506537794944).

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

225190437984 is a wasteful number, since it uses less digits than its factorization.

225190437984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222259 (or 222242 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 225190437984 in words is "two hundred twenty-five billion, one hundred ninety million, four hundred thirty-seven thousand, nine hundred eighty-four".