225191715840 has 2112 divisors, whose sum is σ = 1061589265920. Its totient is φ = 44718096384.

The previous prime is 225191715739. The next prime is 225191715877. The reversal of 225191715840 is 48517191522.

225191715840 is a `hidden beast` number, since 2 + 2 + 51 + 9 + 17 + 1 + 584 + 0 = 666.

It is a super-2 number, since 2×225191715840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13246571512 + ... + 13246571528.

Almost surely, 2^225191715840 is an apocalyptic number.

225191715840 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 225191715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530794632960).

225191715840 is an abundant number, since it is smaller than the sum of its proper divisors (836397550080).

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

225191715840 is an equidigital number, since it uses as much as digits as its factorization.

225191715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 225191715840 in words is "two hundred twenty-five billion, one hundred ninety-one million, seven hundred fifteen thousand, eight hundred forty".