235554242455532 has 576 divisors, whose sum is σ = 579084317102592. Its totient is φ = 83079235008000.

The previous prime is 235554242455513. The next prime is 235554242455561.

235554242455532 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×235554242455532² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36650726903 + ... + 36650733329.

It is an arithmetic number, because the mean of its divisors is an integer number (1005354717192).

Almost surely, 2^{235554242455532} is an apocalyptic number.

235554242455532 is a gapful number since it is divisible by the number (22) 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 235554242455532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289542158551296).

235554242455532 is an abundant number, since it is smaller than the sum of its proper divisors (343530074647060).

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

235554242455532 is a wasteful number, since it uses less digits than its factorization.

235554242455532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699 (or 6668 counting only the distinct ones).

The product of its digits is 144000000, while the sum is 56.

The spelling of 235554242455532 in words is "two hundred thirty-five trillion, five hundred fifty-four billion, two hundred forty-two million, four hundred fifty-five thousand, five hundred thirty-two".