224014400001 has 96 divisors (see below), whose sum is σ = 399890400000. Its totient is φ = 120452355072.

The previous prime is 224014399981. The next prime is 224014400063. The reversal of 224014400001 is 100004410422.

224014400001 is a `hidden beast` number, since 224 + 0 + 1 + 440 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 224014400001 - 2¹⁰ = 224014398977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224014400501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8726481 + ... + 8752113.

It is an arithmetic number, because the mean of its divisors is an integer number (4165525000).

Almost surely, 2^224014400001 is an apocalyptic number.

224014400001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

224014400001 is a deficient number, since it is larger than the sum of its proper divisors (175875999999).

224014400001 is a wasteful number, since it uses less digits than its factorization.

224014400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25828 (or 25811 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 224014400001 its reverse (100004410422), we get a palindrome (324018810423).

The spelling of 224014400001 in words is "two hundred twenty-four billion, fourteen million, four hundred thousand, one".