225092736000 has 1408 divisors, whose sum is σ = 941748387840. Its totient is φ = 52531200000.

The previous prime is 225092735963. The next prime is 225092736017. The reversal of 225092736000 is 637290522.

225092736000 is a `hidden beast` number, since 2 + 25 + 0 + 9 + 27 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1178495905 + ... + 1178496095.

Almost surely, 2^225092736000 is an apocalyptic number.

225092736000 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 225092736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470874193920).

225092736000 is an abundant number, since it is smaller than the sum of its proper divisors (716655651840).

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

225092736000 is a wasteful number, since it uses less digits than its factorization.

225092736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 225092736000 in words is "two hundred twenty-five billion, ninety-two million, seven hundred thirty-six thousand".