235214514144 has 96 divisors (see below), whose sum is σ = 686620398240. Its totient is φ = 78338774016.

The previous prime is 235214514131. The next prime is 235214514239. The reversal of 235214514144 is 441415412532.

235214514144 is a `hidden beast` number, since 2 + 3 + 521 + 4 + 51 + 41 + 44 = 666.

235214514144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 235214514099 and 235214514108.

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 15 ways as a sum of consecutive naturals, for example, 916654 + ... + 1144850.

It is an arithmetic number, because the mean of its divisors is an integer number (7152295815).

Almost surely, 2^235214514144 is an apocalyptic number.

235214514144 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 235214514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343310199120).

235214514144 is an abundant number, since it is smaller than the sum of its proper divisors (451405884096).

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

235214514144 is a wasteful number, since it uses less digits than its factorization.

235214514144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229409 (or 229395 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 235214514144 its reverse (441415412532), we get a palindrome (676629926676).

The spelling of 235214514144 in words is "two hundred thirty-five billion, two hundred fourteen million, five hundred fourteen thousand, one hundred forty-four".