226138319091720 has 192 divisors, whose sum is σ = 839948202213120. Its totient is φ = 51688397164032.

The previous prime is 226138319091697. The next prime is 226138319091733. The reversal of 226138319091720 is 27190913831622.

226138319091720 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 383 + 1 + 90 + 9 + 172 + 0 = 666.

It is a super-3 number, since 3×226138319091720³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555136357 + ... + 555543563.

It is an arithmetic number, because the mean of its divisors is an integer number (4374730219860).

Almost surely, 2^{226138319091720} is an apocalyptic number.

226138319091720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226138319091720 is an abundant number, since it is smaller than the sum of its proper divisors (613809883121400).

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

226138319091720 is a wasteful number, since it uses less digits than its factorization.

226138319091720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627604 (or 627597 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 226138319091720 in words is "two hundred twenty-six trillion, one hundred thirty-eight billion, three hundred nineteen million, ninety-one thousand, seven hundred twenty".