233997830466048 has 960 divisors, whose sum is σ = 768163013849088. Its totient is φ = 68497228800000.

The previous prime is 233997830465981. The next prime is 233997830466089. The reversal of 233997830466048 is 840664038799332.

233997830466048 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 9 + 7 + 8 + 3 + 0 + 4 + 6 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199827352503 + ... + 199827353673.

Almost surely, 2^{233997830466048} 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 233997830466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384081506924544).

233997830466048 is an abundant number, since it is smaller than the sum of its proper divisors (534165183383040).

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

233997830466048 is a wasteful number, since it uses less digits than its factorization.

233997830466048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 233997830466048 in words is "two hundred thirty-three trillion, nine hundred ninety-seven billion, eight hundred thirty million, four hundred sixty-six thousand, forty-eight".