226312070100480 has 7680 divisors, whose sum is σ = 1110471325286400. Its totient is φ = 43703339581440.

The previous prime is 226312070100463. The next prime is 226312070100491. The reversal of 226312070100480 is 84001070213622.

It is a happy number.

226312070100480 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 1 + 2 + 0 + 70 + 100 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2542832248276 + ... + 2542832248364.

It is an arithmetic number, because the mean of its divisors is an integer number (144592620480).

Almost surely, 2^{226312070100480} is an apocalyptic number.

226312070100480 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 226312070100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555235662643200).

226312070100480 is an abundant number, since it is smaller than the sum of its proper divisors (884159255185920).

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

226312070100480 is an equidigital number, since it uses as much as digits as its factorization.

226312070100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 226312070100480 in words is "two hundred twenty-six trillion, three hundred twelve billion, seventy million, one hundred thousand, four hundred eighty".