225044197347840 has 640 divisors, whose sum is σ = 821980029911040. Its totient is φ = 52066658746368.

The previous prime is 225044197347793. The next prime is 225044197347841. The reversal of 225044197347840 is 48743791440522.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (225044197347841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240446857 + ... + 241380983.

It is an arithmetic number, because the mean of its divisors is an integer number (1284343796736).

Almost surely, 2^{225044197347840} is an apocalyptic number.

225044197347840 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 225044197347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410990014955520).

225044197347840 is an abundant number, since it is smaller than the sum of its proper divisors (596935832563200).

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

225044197347840 is a wasteful number, since it uses less digits than its factorization.

225044197347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934312 (or 934296 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 225044197347840 in words is "two hundred twenty-five trillion, forty-four billion, one hundred ninety-seven million, three hundred forty-seven thousand, eight hundred forty".