224164972416 has 768 divisors, whose sum is σ = 811057651200. Its totient is φ = 53243412480.

The previous prime is 224164972387. The next prime is 224164972439. The reversal of 224164972416 is 614279461422.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316170270 + ... + 316170978.

It is an arithmetic number, because the mean of its divisors is an integer number (1056064650).

Almost surely, 2^224164972416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224164972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405528825600).

224164972416 is an abundant number, since it is smaller than the sum of its proper divisors (586892678784).

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

224164972416 is a wasteful number, since it uses less digits than its factorization.

224164972416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 786 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 224164972416 in words is "two hundred twenty-four billion, one hundred sixty-four million, nine hundred seventy-two thousand, four hundred sixteen".