224291978001 has 96 divisors (see below), whose sum is σ = 404571847680. Its totient is φ = 116588408832.

The previous prime is 224291977999. The next prime is 224291978017. The reversal of 224291978001 is 100879192422.

It is not a de Polignac number, because 224291978001 - 2¹ = 224291977999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224291979001) 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, 18980971 + ... + 18992783.

It is an arithmetic number, because the mean of its divisors is an integer number (4214290080).

Almost surely, 2^224291978001 is an apocalyptic number.

224291978001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

224291978001 is a deficient number, since it is larger than the sum of its proper divisors (180279869679).

224291978001 is a wasteful number, since it uses less digits than its factorization.

224291978001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175 (or 12172 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 224291978001 in words is "two hundred twenty-four billion, two hundred ninety-one million, nine hundred seventy-eight thousand, one".