224146357461 has 20 divisors (see below), whose sum is σ = 360592527372. Its totient is φ = 137936219328.

The previous prime is 224146357439. The next prime is 224146357481. The reversal of 224146357461 is 164753641422.

224146357461 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 4 + 635 + 7 + 4 + 6 + 1 = 666.

224146357461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 63204976836 + 160941380625 = 251406^2 + 401175^2 .

It is not a de Polignac number, because 224146357461 - 2⁶ = 224146357397 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224146357481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106431216 + ... + 106433321.

Almost surely, 2^224146357461 is an apocalyptic number.

It is an amenable number.

224146357461 is a deficient number, since it is larger than the sum of its proper divisors (136446169911).

224146357461 is a wasteful number, since it uses less digits than its factorization.

224146357461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212864562 (or 212864553 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

Adding to 224146357461 its reverse (164753641422), we get a palindrome (388899998883).

The spelling of 224146357461 in words is "two hundred twenty-four billion, one hundred forty-six million, three hundred fifty-seven thousand, four hundred sixty-one".