233284066049664 has 2560 divisors, whose sum is σ = 882296997120000. Its totient is φ = 60951159521280.

The previous prime is 233284066049651. The next prime is 233284066049681. The reversal of 233284066049664 is 466940660482332.

233284066049664 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 84 + 0 + 6 + 6 + 0 + 496 + 64 = 666.

It is a super-2 number, since 2×233284066049664² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 296421938679 + ... + 296421939465.

It is an arithmetic number, because the mean of its divisors is an integer number (344647264500).

Almost surely, 2^{233284066049664} is an apocalyptic number.

233284066049664 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 233284066049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441148498560000).

233284066049664 is an abundant number, since it is smaller than the sum of its proper divisors (649012931070336).

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

233284066049664 is a wasteful number, since it uses less digits than its factorization.

233284066049664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 63.

The spelling of 233284066049664 in words is "two hundred thirty-three trillion, two hundred eighty-four billion, sixty-six million, forty-nine thousand, six hundred sixty-four".