226560046500 has 288 divisors, whose sum is σ = 742334392800. Its totient is φ = 58118860800.

The previous prime is 226560046499. The next prime is 226560046501. The reversal of 226560046500 is 5640065622.

226560046500 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 600 + 46 + 5 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226560046499) and next prime (226560046501).

It can be written as a sum of positive squares in 16 ways, for example, as 133096550976 + 93463495524 = 364824^2 + 305718^2 .

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

It is not an unprimeable number, because it can be changed into a prime (226560046501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14810856 + ... + 14826144.

It is an arithmetic number, because the mean of its divisors is an integer number (2577549975).

Almost surely, 2^226560046500 is an apocalyptic number.

226560046500 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 226560046500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371167196400).

226560046500 is an abundant number, since it is smaller than the sum of its proper divisors (515774346300).

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

226560046500 is a wasteful number, since it uses less digits than its factorization.

226560046500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15440 (or 15425 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 226560046500 in words is "two hundred twenty-six billion, five hundred sixty million, forty-six thousand, five hundred".