233978011344000 has 11520 divisors, whose sum is σ = 1253332528905600. Its totient is φ = 42639851520000.

The previous prime is 233978011343987. The next prime is 233978011344001. The reversal of 233978011344000 is 443110879332.

233978011344000 is a `hidden beast` number, since 2 + 3 + 3 + 97 + 8 + 0 + 113 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233978011344001) by changing a digit.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 3835705103970 + ... + 3835705104030.

Almost surely, 2^{233978011344000} is an apocalyptic number.

233978011344000 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 233978011344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626666264452800).

233978011344000 is an abundant number, since it is smaller than the sum of its proper divisors (1019354517561600).

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

233978011344000 is a wasteful number, since it uses less digits than its factorization.

233978011344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 233978011344000 in words is "two hundred thirty-three trillion, nine hundred seventy-eight billion, eleven million, three hundred forty-four thousand".