233894192448 has 224 divisors, whose sum is σ = 716803118080. Its totient is φ = 65930526720.

The previous prime is 233894192447. The next prime is 233894192459. The reversal of 233894192448 is 844291498332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233894192447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30447168 + ... + 30454848.

It is an arithmetic number, because the mean of its divisors is an integer number (3200013920).

Almost surely, 2^233894192448 is an apocalyptic number.

233894192448 is a gapful number since it is divisible by the number (28) 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 233894192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358401559040).

233894192448 is an abundant number, since it is smaller than the sum of its proper divisors (482908925632).

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

233894192448 is a wasteful number, since it uses less digits than its factorization.

233894192448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8005 (or 7995 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The spelling of 233894192448 in words is "two hundred thirty-three billion, eight hundred ninety-four million, one hundred ninety-two thousand, four hundred forty-eight".