233214531552 has 144 divisors (see below), whose sum is σ = 712107238752. Its totient is φ = 72134737920.

The previous prime is 233214531547. The next prime is 233214531553. The reversal of 233214531552 is 255135412332.

233214531552 is a `hidden beast` number, since 2 + 3 + 32 + 1 + 45 + 31 + 552 = 666.

233214531552 is digitally balanced in base 3, 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 (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233214531553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12168 + ... + 683064.

It is an arithmetic number, because the mean of its divisors is an integer number (4945189158).

Almost surely, 2^233214531552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233214531552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356053619376).

233214531552 is an abundant number, since it is smaller than the sum of its proper divisors (478892707200).

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

233214531552 is a wasteful number, since it uses less digits than its factorization.

233214531552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671001 (or 670990 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 233214531552 its reverse (255135412332), we get a palindrome (488349943884).

The spelling of 233214531552 in words is "two hundred thirty-three billion, two hundred fourteen million, five hundred thirty-one thousand, five hundred fifty-two".