226894986864 has 960 divisors, whose sum is σ = 851525498880. Its totient is φ = 57288591360.

The previous prime is 226894986863. The next prime is 226894986881. The reversal of 226894986864 is 468689498622.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 226894986792 and 226894986801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226894986863) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 685483179 + ... + 685483509.

It is an arithmetic number, because the mean of its divisors is an integer number (887005728).

Almost surely, 2^226894986864 is an apocalyptic number.

226894986864 is a gapful number since it is divisible by the number (24) 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 226894986864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425762749440).

226894986864 is an abundant number, since it is smaller than the sum of its proper divisors (624630512016).

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

226894986864 is a wasteful number, since it uses less digits than its factorization.

226894986864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 456 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 226894986864 in words is "two hundred twenty-six billion, eight hundred ninety-four million, nine hundred eighty-six thousand, eight hundred sixty-four".