226091143872 has 672 divisors, whose sum is σ = 771165457920. Its totient is φ = 62586224640.

The previous prime is 226091143871. The next prime is 226091143903. The reversal of 226091143872 is 278341190622.

226091143872 is a `hidden beast` number, since 2 + 2 + 60 + 91 + 1 + 438 + 72 = 666.

It is a super-2 number, since 2×226091143872² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226091143871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 859662013 + ... + 859662275.

Almost surely, 2^226091143872 is an apocalyptic number.

226091143872 is a gapful number since it is divisible by the number (22) 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 226091143872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385582728960).

226091143872 is an abundant number, since it is smaller than the sum of its proper divisors (545074314048).

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

226091143872 is a wasteful number, since it uses less digits than its factorization.

226091143872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

It can be divided in two parts, 226091 and 143872, that added together give a palindrome (369963).

The spelling of 226091143872 in words is "two hundred twenty-six billion, ninety-one million, one hundred forty-three thousand, eight hundred seventy-two".