225800156736 has 1344 divisors, whose sum is σ = 885553240320. Its totient is φ = 56435097600.

The previous prime is 225800156719. The next prime is 225800156741. The reversal of 225800156736 is 637651008522.

225800156736 is a `hidden beast` number, since 2 + 2 + 5 + 80 + 0 + 1 + 567 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 225800156691 and 225800156700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3093152796 + ... + 3093152868.

It is an arithmetic number, because the mean of its divisors is an integer number (658893780).

Almost surely, 2^225800156736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225800156736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442776620160).

225800156736 is an abundant number, since it is smaller than the sum of its proper divisors (659753083584).

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

225800156736 is an equidigital number, since it uses as much as digits as its factorization.

225800156736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 225800156736 in words is "two hundred twenty-five billion, eight hundred million, one hundred fifty-six thousand, seven hundred thirty-six".