226252214496 has 288 divisors, whose sum is σ = 831879030528. Its totient is φ = 58766653440.

The previous prime is 226252214473. The next prime is 226252214519. The reversal of 226252214496 is 694412252622.

226252214496 is a `hidden beast` number, since 2 + 2 + 625 + 2 + 2 + 14 + 4 + 9 + 6 = 666.

226252214496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226252214473) and next prime (226252214519).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409816 + ... + 787688.

It is an arithmetic number, because the mean of its divisors is an integer number (2888468856).

Almost surely, 2^226252214496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226252214496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415939515264).

226252214496 is an abundant number, since it is smaller than the sum of its proper divisors (605626816032).

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

226252214496 is a wasteful number, since it uses less digits than its factorization.

226252214496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377916 (or 377896 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 226252214496 in words is "two hundred twenty-six billion, two hundred fifty-two million, two hundred fourteen thousand, four hundred ninety-six".