224374747647072 has 192 divisors, whose sum is σ = 649285640640000. Its totient is φ = 67278278246400.

The previous prime is 224374747647013. The next prime is 224374747647119. The reversal of 224374747647072 is 270746747473422.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 224374747646994 and 224374747647012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135025422 + ... + 136677042.

It is an arithmetic number, because the mean of its divisors is an integer number (3381696045000).

Almost surely, 2^{224374747647072} is an apocalyptic number.

224374747647072 is a gapful number since it is divisible by the number (22) 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 224374747647072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324642820320000).

224374747647072 is an abundant number, since it is smaller than the sum of its proper divisors (424910892992928).

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

224374747647072 is a wasteful number, since it uses less digits than its factorization.

224374747647072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652997 (or 1652989 counting only the distinct ones).

The product of its (nonzero) digits is 619573248, while the sum is 66.

The spelling of 224374747647072 in words is "two hundred twenty-four trillion, three hundred seventy-four billion, seven hundred forty-seven million, six hundred forty-seven thousand, seventy-two".