224561010617160 has 512 divisors, whose sum is σ = 790506054328320. Its totient is φ = 49964337561600.

The previous prime is 224561010617149. The next prime is 224561010617173. The reversal of 224561010617160 is 61716010165422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29466078150 + ... + 29466085770.

It is an arithmetic number, because the mean of its divisors is an integer number (1543957137360).

Almost surely, 2^{224561010617160} is an apocalyptic number.

224561010617160 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 224561010617160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395253027164160).

224561010617160 is an abundant number, since it is smaller than the sum of its proper divisors (565945043711160).

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

224561010617160 is a wasteful number, since it uses less digits than its factorization.

224561010617160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10349 (or 10345 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 224561010617160 in words is "two hundred twenty-four trillion, five hundred sixty-one billion, ten million, six hundred seventeen thousand, one hundred sixty".