226575048001 has 9 divisors (see below), whose sum is σ = 227369404899. Its totient is φ = 225783461664.

The previous prime is 226575047969. The next prime is 226575048023. The reversal of 226575048001 is 100840575622.

The square root of 226575048001 is 475999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 225876820225 + 698227776 = 475265^2 + 26424^2 .

It is not a de Polignac number, because 226575048001 - 2⁵ = 226575047969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226575048031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 174690985 + ... + 174692281.

It is an arithmetic number, because the mean of its divisors is an integer number (25263267211).

Almost surely, 2^226575048001 is an apocalyptic number.

226575048001 is the 475999-th square number.

226575048001 is the 238000-th centered octagonal number.

It is an amenable number.

226575048001 is a deficient number, since it is larger than the sum of its proper divisors (794356898).

226575048001 is an frugal number, since it uses more digits than its factorization.

226575048001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 226575048001 in words is "two hundred twenty-six billion, five hundred seventy-five million, forty-eight thousand, one".