224457411036105 has 48 divisors (see below), whose sum is σ = 437204000653056. Its totient is φ = 105697670474880.

The previous prime is 224457411036077. The next prime is 224457411036113. The reversal of 224457411036105 is 501630114754422.

It is a happy number.

224457411036105 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 574 + 1 + 10 + 3 + 61 + 0 + 5 = 666.

It is not a de Polignac number, because 224457411036105 - 2⁹ = 224457411035593 is a prime.

It is a super-2 number, since 2×224457411036105² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8341027461 + ... + 8341054370.

It is an arithmetic number, because the mean of its divisors is an integer number (9108416680272).

Almost surely, 2^{224457411036105} is an apocalyptic number.

It is an amenable number.

224457411036105 is a deficient number, since it is larger than the sum of its proper divisors (212746589616951).

224457411036105 is a wasteful number, since it uses less digits than its factorization.

224457411036105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16682081878 (or 16682081875 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 224457411036105 in words is "two hundred twenty-four trillion, four hundred fifty-seven billion, four hundred eleven million, thirty-six thousand, one hundred five".