223829349045120 has 2048 divisors, whose sum is σ = 999371520000000. Its totient is φ = 47045616500736.

The previous prime is 223829349045101. The next prime is 223829349045187. The reversal of 223829349045120 is 21540943928322.

223829349045120 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 2 + 9 + 34 + 90 + 4 + 512 + 0 = 666.

It is a super-2 number, since 2×223829349045120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20726853481 + ... + 20726864279.

It is an arithmetic number, because the mean of its divisors is an integer number (487974375000).

Almost surely, 2^{223829349045120} is an apocalyptic number.

223829349045120 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 223829349045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499685760000000).

223829349045120 is an abundant number, since it is smaller than the sum of its proper divisors (775542170954880).

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

223829349045120 is a wasteful number, since it uses less digits than its factorization.

223829349045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11130 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 223829349045120 in words is "two hundred twenty-three trillion, eight hundred twenty-nine billion, three hundred forty-nine million, forty-five thousand, one hundred twenty".