235543413000000 has 784 divisors, whose sum is σ = 899109438751872. Its totient is φ = 53304960000000.

The previous prime is 235543412999893. The next prime is 235543413000061. The reversal of 235543413000000 is 314345532.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2120944474 + ... + 2121055526.

Almost surely, 2^{235543413000000} is an apocalyptic number.

235543413000000 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 235543413000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449554719375936).

235543413000000 is an abundant number, since it is smaller than the sum of its proper divisors (663566025751872).

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

235543413000000 is an equidigital number, since it uses as much as digits as its factorization.

235543413000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111206 (or 111171 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 235543413000000 its reverse (314345532), we get a palindrome (235543727345532).

The spelling of 235543413000000 in words is "two hundred thirty-five trillion, five hundred forty-three billion, four hundred thirteen million", and thus it is an aban number.