224094972264 has 192 divisors, whose sum is σ = 613926552960. Its totient is φ = 67925606400.

The previous prime is 224094972259. The next prime is 224094972289. The reversal of 224094972264 is 462279490422.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 84340024 + ... + 84342680.

It is an arithmetic number, because the mean of its divisors is an integer number (3197534130).

Almost surely, 2^224094972264 is an apocalyptic number.

224094972264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224094972264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306963276480).

224094972264 is an abundant number, since it is smaller than the sum of its proper divisors (389831580696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224094972264 is a wasteful number, since it uses less digits than its factorization.

224094972264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 224094972264 in words is "two hundred twenty-four billion, ninety-four million, nine hundred seventy-two thousand, two hundred sixty-four".