224059956120 has 1152 divisors, whose sum is σ = 1011834270720. Its totient is φ = 41525913600.

The previous prime is 224059956103. The next prime is 224059956143. The reversal of 224059956120 is 21659950422.

224059956120 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 599 + 56 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 346305637 + ... + 346306283.

It is an arithmetic number, because the mean of its divisors is an integer number (878328360).

Almost surely, 2^224059956120 is an apocalyptic number.

224059956120 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 224059956120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505917135360).

224059956120 is an abundant number, since it is smaller than the sum of its proper divisors (787774314600).

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

224059956120 is a wasteful number, since it uses less digits than its factorization.

224059956120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 224059956120 in words is "two hundred twenty-four billion, fifty-nine million, nine hundred fifty-six thousand, one hundred twenty".