233986838400 has 2016 divisors, whose sum is σ = 1063777114800. Its totient is φ = 50582568960.

The previous prime is 233986838389. The next prime is 233986838411. The reversal of 233986838400 is 4838689332.

It is a happy number.

233986838400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233986838389) and next prime (233986838411).

It is a tau number, because it is divible by the number of its divisors (2016).

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 251 ways as a sum of consecutive naturals, for example, 2629065556 + ... + 2629065644.

Almost surely, 2^233986838400 is an apocalyptic number.

233986838400 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 233986838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531888557400).

233986838400 is an abundant number, since it is smaller than the sum of its proper divisors (829790276400).

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

233986838400 is an equidigital number, since it uses as much as digits as its factorization.

233986838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 233986838400 in words is "two hundred thirty-three billion, nine hundred eighty-six million, eight hundred thirty-eight thousand, four hundred".