229892438138880 has 1344 divisors, whose sum is σ = 839460340099584. Its totient is φ = 53641583001600.

The previous prime is 229892438138837. The next prime is 229892438138899. The reversal of 229892438138880 is 88831834298922.

It is a super-2 number, since 2×229892438138880² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42627929464 + ... + 42627934856.

It is an arithmetic number, because the mean of its divisors is an integer number (624598467336).

Almost surely, 2^{229892438138880} is an apocalyptic number.

229892438138880 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 229892438138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419730170049792).

229892438138880 is an abundant number, since it is smaller than the sum of its proper divisors (609567901960704).

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

229892438138880 is a wasteful number, since it uses less digits than its factorization.

229892438138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 75.

The spelling of 229892438138880 in words is "two hundred twenty-nine trillion, eight hundred ninety-two billion, four hundred thirty-eight million, one hundred thirty-eight thousand, eight hundred eighty".