226147599360 has 1056 divisors, whose sum is σ = 862043120640. Its totient is φ = 54655451136.

The previous prime is 226147599347. The next prime is 226147599367. The reversal of 226147599360 is 63995741622.

226147599360 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 47 + 599 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×226147599360² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226147599297 and 226147599306.

It is not an unprimeable number, because it can be changed into a prime (226147599367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2862627801 + ... + 2862627879.

Almost surely, 2^226147599360 is an apocalyptic number.

226147599360 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 226147599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431021560320).

226147599360 is an abundant number, since it is smaller than the sum of its proper divisors (635895521280).

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

226147599360 is a wasteful number, since it uses less digits than its factorization.

226147599360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 226147599360 in words is "two hundred twenty-six billion, one hundred forty-seven million, five hundred ninety-nine thousand, three hundred sixty".