233542352455220 has 96 divisors (see below), whose sum is σ = 519100229007360. Its totient is φ = 88074752008320.

The previous prime is 233542352455213. The next prime is 233542352455241. The reversal of 233542352455220 is 22554253245332.

233542352455220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129844811 + ... + 131631149.

It is an arithmetic number, because the mean of its divisors is an integer number (5407294052160).

Almost surely, 2^{233542352455220} is an apocalyptic number.

233542352455220 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 233542352455220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259550114503680).

233542352455220 is an abundant number, since it is smaller than the sum of its proper divisors (285557876552140).

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

233542352455220 is a wasteful number, since it uses less digits than its factorization.

233542352455220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790445 (or 1790443 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 47.

The spelling of 233542352455220 in words is "two hundred thirty-three trillion, five hundred forty-two billion, three hundred fifty-two million, four hundred fifty-five thousand, two hundred twenty".