233545053168 has 640 divisors, whose sum is σ = 838660608000. Its totient is φ = 60699082752.

The previous prime is 233545053167. The next prime is 233545053191. The reversal of 233545053168 is 861350545332.

233545053168 is a `hidden beast` number, since 2 + 3 + 3 + 5 + 4 + 50 + 531 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233545053167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 378516796 + ... + 378517412.

It is an arithmetic number, because the mean of its divisors is an integer number (1310407200).

Almost surely, 2^233545053168 is an apocalyptic number.

233545053168 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 233545053168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419330304000).

233545053168 is an abundant number, since it is smaller than the sum of its proper divisors (605115554832).

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

233545053168 is a wasteful number, since it uses less digits than its factorization.

233545053168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 233545053168 in words is "two hundred thirty-three billion, five hundred forty-five million, fifty-three thousand, one hundred sixty-eight".