24224164005000 has 160 divisors (see below), whose sum is σ = 75680562592800. Its totient is φ = 6459412224000.

The previous prime is 24224164004983. The next prime is 24224164005001. The reversal of 24224164005000 is 50046142242.

It is a super-2 number, since 2×24224164005000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (24224164005001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 360611416 + ... + 360678584.

It is an arithmetic number, because the mean of its divisors is an integer number (473003516205).

Almost surely, 2^{24224164005000} is an apocalyptic number.

24224164005000 is a gapful number since it is divisible by the number (20) 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 24224164005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37840281296400).

24224164005000 is an abundant number, since it is smaller than the sum of its proper divisors (51456398587800).

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

24224164005000 is a wasteful number, since it uses less digits than its factorization.

24224164005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91241 (or 91222 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 24224164005000 in words is "twenty-four trillion, two hundred twenty-four billion, one hundred sixty-four million, five thousand".