226090195968 has 528 divisors, whose sum is σ = 779482927104. Its totient is φ = 57689210880.

The previous prime is 226090195951. The next prime is 226090196027. The reversal of 226090195968 is 869591090622.

It is a super-2 number, since 2×226090195968² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60660921 + ... + 60664647.

Almost surely, 2^226090195968 is an apocalyptic number.

226090195968 is a gapful number since it is divisible by the number (28) 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 226090195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389741463552).

226090195968 is an abundant number, since it is smaller than the sum of its proper divisors (553392731136).

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

226090195968 is a wasteful number, since it uses less digits than its factorization.

226090195968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 226090195968 in words is "two hundred twenty-six billion, ninety million, one hundred ninety-five thousand, nine hundred sixty-eight".