226286234520192 has 4096 divisors, whose sum is σ = 930259427328000. Its totient is φ = 52378140672000.

The previous prime is 226286234520167. The next prime is 226286234520193. The reversal of 226286234520192 is 291025432682622.

226286234520192 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 8 + 6 + 2 + 345 + 201 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (226286234520193) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1627958521659 + ... + 1627958521797.

It is an arithmetic number, because the mean of its divisors is an integer number (227114118000).

Almost surely, 2^{226286234520192} is an apocalyptic number.

226286234520192 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 226286234520192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465129713664000).

226286234520192 is an abundant number, since it is smaller than the sum of its proper divisors (703973192807808).

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

226286234520192 is a wasteful number, since it uses less digits than its factorization.

226286234520192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 226286234520192 in words is "two hundred twenty-six trillion, two hundred eighty-six billion, two hundred thirty-four million, five hundred twenty thousand, one hundred ninety-two".