233141863680 has 1152 divisors, whose sum is σ = 947903201280. Its totient is φ = 53747712000.

The previous prime is 233141863651. The next prime is 233141863693. The reversal of 233141863680 is 86368141332.

233141863680 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 4 + 1 + 8 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 860301945 + ... + 860302215.

It is an arithmetic number, because the mean of its divisors is an integer number (822832640).

Almost surely, 2^233141863680 is an apocalyptic number.

233141863680 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 233141863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473951600640).

233141863680 is an abundant number, since it is smaller than the sum of its proper divisors (714761337600).

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

233141863680 is a wasteful number, since it uses less digits than its factorization.

233141863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 233141863680 in words is "two hundred thirty-three billion, one hundred forty-one million, eight hundred sixty-three thousand, six hundred eighty".