226142095968 has 240 divisors, whose sum is σ = 670606896960. Its totient is φ = 74756908800.

The previous prime is 226142095913. The next prime is 226142095969. The reversal of 226142095968 is 869590241622.

226142095968 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 42 + 0 + 9 + 596 + 8 = 666.

It is a super-2 number, since 2×226142095968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226142095969) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 207279103 + ... + 207280193.

It is an arithmetic number, because the mean of its divisors is an integer number (2794195404).

Almost surely, 2^226142095968 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 226142095968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335303448480).

226142095968 is an abundant number, since it is smaller than the sum of its proper divisors (444464800992).

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

226142095968 is a wasteful number, since it uses less digits than its factorization.

226142095968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 226142095968 in words is "two hundred twenty-six billion, one hundred forty-two million, ninety-five thousand, nine hundred sixty-eight".