233115786608640 has 1088 divisors, whose sum is σ = 857200212836352. Its totient is φ = 53588105625600.

The previous prime is 233115786608629. The next prime is 233115786608647. The reversal of 233115786608640 is 46806687511332.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233115786608647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28459986945 + ... + 28459995135.

Almost surely, 2^{233115786608640} is an apocalyptic number.

233115786608640 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 233115786608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428600106418176).

233115786608640 is an abundant number, since it is smaller than the sum of its proper divisors (624084426227712).

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

233115786608640 is a wasteful number, since it uses less digits than its factorization.

233115786608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 233115786608640 in words is "two hundred thirty-three trillion, one hundred fifteen billion, seven hundred eighty-six million, six hundred eight thousand, six hundred forty".