233857745840 has 160 divisors (see below), whose sum is σ = 580154296320. Its totient is φ = 87462966272.

The previous prime is 233857745837. The next prime is 233857745867. The reversal of 233857745840 is 48547758332.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113028326 + ... + 113030394.

It is an arithmetic number, because the mean of its divisors is an integer number (3625964352).

Almost surely, 2^233857745840 is an apocalyptic number.

233857745840 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 233857745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290077148160).

233857745840 is an abundant number, since it is smaller than the sum of its proper divisors (346296550480).

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

233857745840 is a wasteful number, since it uses less digits than its factorization.

233857745840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 56.

The spelling of 233857745840 in words is "two hundred thirty-three billion, eight hundred fifty-seven million, seven hundred forty-five thousand, eight hundred forty".