233778600000 has 504 divisors, whose sum is σ = 913770014976. Its totient is φ = 56668800000.

The previous prime is 233778599983. The next prime is 233778600031. The reversal of 233778600000 is 6877332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19794097 + ... + 19805903.

It is an arithmetic number, because the mean of its divisors is an integer number (1813035744).

Almost surely, 2^233778600000 is an apocalyptic number.

233778600000 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 233778600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456885007488).

233778600000 is an abundant number, since it is smaller than the sum of its proper divisors (679991414976).

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

233778600000 is a wasteful number, since it uses less digits than its factorization.

233778600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11861 (or 11828 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 233778600000 in words is "two hundred thirty-three billion, seven hundred seventy-eight million, six hundred thousand".