233261666640000 has 960 divisors, whose sum is σ = 842801017344000. Its totient is φ = 61905420288000.

The previous prime is 233261666639987. The next prime is 233261666640031. The reversal of 233261666640000 is 46666162332.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×233261666640000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 182378159361 + ... + 182378160639.

It is an arithmetic number, because the mean of its divisors is an integer number (877917726400).

Almost surely, 2^{233261666640000} is an apocalyptic number.

233261666640000 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 233261666640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421400508672000).

233261666640000 is an abundant number, since it is smaller than the sum of its proper divisors (609539350704000).

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

233261666640000 is a wasteful number, since it uses less digits than its factorization.

233261666640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 233261666640000 in words is "two hundred thirty-three trillion, two hundred sixty-one billion, six hundred sixty-six million, six hundred forty thousand".