233145083087616 has 288 divisors, whose sum is σ = 716758964748288. Its totient is φ = 65901082705920.

The previous prime is 233145083087569. The next prime is 233145083087617. The reversal of 233145083087616 is 616780380541332.

It is not an unprimeable number, because it can be changed into a prime (233145083087617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240527776 + ... + 241495136.

It is an arithmetic number, because the mean of its divisors is an integer number (2488746405376).

Almost surely, 2^{233145083087616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233145083087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358379482374144).

233145083087616 is an abundant number, since it is smaller than the sum of its proper divisors (483613881660672).

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

233145083087616 is a wasteful number, since it uses less digits than its factorization.

233145083087616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967867 (or 967853 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 233145083087616 in words is "two hundred thirty-three trillion, one hundred forty-five billion, eighty-three million, eighty-seven thousand, six hundred sixteen".