226460573525376 has 320 divisors, whose sum is σ = 688388387258880. Its totient is φ = 73869357652992.

The previous prime is 226460573525339. The next prime is 226460573525377. The reversal of 226460573525376 is 673525375064622.

226460573525376 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 6 + 0 + 5 + 73 + 525 + 37 + 6 = 666.

226460573525376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226460573525376² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226460573525377) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3511910031 + ... + 3511974513.

It is an arithmetic number, because the mean of its divisors is an integer number (2151213710184).

Almost surely, 2^{226460573525376} 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 226460573525376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344194193629440).

226460573525376 is an abundant number, since it is smaller than the sum of its proper divisors (461927813733504).

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

226460573525376 is an equidigital number, since it uses as much as digits as its factorization.

226460573525376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71763 (or 71742 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 63.

The spelling of 226460573525376 in words is "two hundred twenty-six trillion, four hundred sixty billion, five hundred seventy-three million, five hundred twenty-five thousand, three hundred seventy-six".