226193849021952 has 1680 divisors, whose sum is σ = 834149584224000. Its totient is φ = 60899113820160.

The previous prime is 226193849021927. The next prime is 226193849021969. The reversal of 226193849021952 is 259120948391622.

226193849021952 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 9 + 38 + 490 + 21 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 226193849021952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 69151282077 + ... + 69151285347.

Almost surely, 2^{226193849021952} 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 226193849021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417074792112000).

226193849021952 is an abundant number, since it is smaller than the sum of its proper divisors (607955735202048).

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

226193849021952 is an equidigital number, since it uses as much as digits as its factorization.

226193849021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 226193849021952 in words is "two hundred twenty-six trillion, one hundred ninety-three billion, eight hundred forty-nine million, twenty-one thousand, nine hundred fifty-two".