232274398444000 has 384 divisors, whose sum is σ = 624113957900160. Its totient is φ = 84255510528000.

The previous prime is 232274398443979. The next prime is 232274398444037. The reversal of 232274398444000 is 444893472232.

It is a super-2 number, since 2×232274398444000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59725994056 + ... + 59725997944.

It is an arithmetic number, because the mean of its divisors is an integer number (1625296765365).

Almost surely, 2^{232274398444000} is an apocalyptic number.

232274398444000 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 232274398444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312056978950080).

232274398444000 is an abundant number, since it is smaller than the sum of its proper divisors (391839559456160).

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

232274398444000 is a wasteful number, since it uses less digits than its factorization.

232274398444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 52.

The spelling of 232274398444000 in words is "two hundred thirty-two trillion, two hundred seventy-four billion, three hundred ninety-eight million, four hundred forty-four thousand".