224456016355104 has 192 divisors, whose sum is σ = 634793147251200. Its totient is φ = 69184379179008.

The previous prime is 224456016355097. The next prime is 224456016355229. The reversal of 224456016355104 is 401553610654422.

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

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 31 ways as a sum of consecutive naturals, for example, 167547967 + ... + 168882305.

It is an arithmetic number, because the mean of its divisors is an integer number (3306214308600).

Almost surely, 2^{224456016355104} is an apocalyptic number.

224456016355104 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 224456016355104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317396573625600).

224456016355104 is an abundant number, since it is smaller than the sum of its proper divisors (410337130896096).

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

224456016355104 is a wasteful number, since it uses less digits than its factorization.

224456016355104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336175 (or 1336167 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 224456016355104 in words is "two hundred twenty-four trillion, four hundred fifty-six billion, sixteen million, three hundred fifty-five thousand, one hundred four".