228953088001 has 36 divisors (see below), whose sum is σ = 272150422740. Its totient is φ = 192222923200.

The previous prime is 228953087999. The next prime is 228953088029. The reversal of 228953088001 is 100880359822.

It can be written as a sum of positive squares in 2 ways, for example, as 183249061776 + 45704026225 = 428076^2 + 213785^2 .

It is not a de Polignac number, because 228953088001 - 2¹ = 228953087999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (228953088031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1794591 + ... + 1917931.

It is an arithmetic number, because the mean of its divisors is an integer number (7559733965).

Almost surely, 2^228953088001 is an apocalyptic number.

It is an amenable number.

228953088001 is a deficient number, since it is larger than the sum of its proper divisors (43197334739).

228953088001 is a wasteful number, since it uses less digits than its factorization.

228953088001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123438 (or 123404 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 228953088001 in words is "two hundred twenty-eight billion, nine hundred fifty-three million, eighty-eight thousand, one".