233241622140384 has 720 divisors, whose sum is σ = 813730224971664. Its totient is φ = 65102174945280.

The previous prime is 233241622140341. The next prime is 233241622140427. The reversal of 233241622140384 is 483041226142332.

It is a happy number.

233241622140384 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 4 + 1 + 6 + 221 + 40 + 384 = 666.

It is an interprime number because it is at equal distance from previous prime (233241622140341) and next prime (233241622140427).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1903998624 + ... + 1904121120.

Almost surely, 2^{233241622140384} is an apocalyptic number.

233241622140384 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 233241622140384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406865112485832).

233241622140384 is an abundant number, since it is smaller than the sum of its proper divisors (580488602831280).

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

233241622140384 is a wasteful number, since it uses less digits than its factorization.

233241622140384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123021 (or 122993 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 233241622140384 in words is "two hundred thirty-three trillion, two hundred forty-one billion, six hundred twenty-two million, one hundred forty thousand, three hundred eighty-four".