226956674880 has 672 divisors, whose sum is σ = 893909356704. Its totient is φ = 52357496832.

The previous prime is 226956674851. The next prime is 226956674899. The reversal of 226956674880 is 88476659622.

226956674880 is a `hidden beast` number, since 2 + 2 + 6 + 95 + 6 + 67 + 488 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 22377766464 + 204578908416 = 149592^2 + 452304^2 .

It is a super-3 number, since 3×226956674880³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186488032 + ... + 186489248.

It is an arithmetic number, because the mean of its divisors is an integer number (1330222257).

Almost surely, 2^226956674880 is an apocalyptic number.

226956674880 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 226956674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446954678352).

226956674880 is an abundant number, since it is smaller than the sum of its proper divisors (666952681824).

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

226956674880 is a wasteful number, since it uses less digits than its factorization.

226956674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 226956674880 in words is "two hundred twenty-six billion, nine hundred fifty-six million, six hundred seventy-four thousand, eight hundred eighty".