233645615166264 has 288 divisors, whose sum is σ = 702326725436160. Its totient is φ = 64582105230720.

The previous prime is 233645615166263. The next prime is 233645615166287. The reversal of 233645615166264 is 462661516546332.

It is a junction number, because it is equal to n+sod(n) for n = 233645615166198 and 233645615166207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233645615166263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3778013727 + ... + 3778075569.

It is an arithmetic number, because the mean of its divisors is an integer number (2438634463320).

Almost surely, 2^{233645615166264} is an apocalyptic number.

233645615166264 is a gapful number since it is divisible by the number (24) 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 233645615166264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351163362718080).

233645615166264 is an abundant number, since it is smaller than the sum of its proper divisors (468681110269896).

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

233645615166264 is a wasteful number, since it uses less digits than its factorization.

233645615166264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65271 (or 65229 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 60.

The spelling of 233645615166264 in words is "two hundred thirty-three trillion, six hundred forty-five billion, six hundred fifteen million, one hundred sixty-six thousand, two hundred sixty-four".