225266832000 has 1792 divisors, whose sum is σ = 1001768601600. Its totient is φ = 49268736000.

The previous prime is 225266831983. The next prime is 225266832061. The reversal of 225266832000 is 238662522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2531087956 + ... + 2531088044.

Almost surely, 2^225266832000 is an apocalyptic number.

225266832000 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 225266832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500884300800).

225266832000 is an abundant number, since it is smaller than the sum of its proper divisors (776501769600).

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

225266832000 is an frugal number, since it uses more digits than its factorization.

225266832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 225 and 266832000, that added together give a square (266832225 = 16335²).

The spelling of 225266832000 in words is "two hundred twenty-five billion, two hundred sixty-six million, eight hundred thirty-two thousand".