23214533541232 has 320 divisors, whose sum is σ = 51557088135168. Its totient is φ = 10033901568000.

The previous prime is 23214533541209. The next prime is 23214533541271.

23214533541232 is nontrivially palindromic in base 10.

Its product of digits (518400) is a multiple of the sum of its prime factors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19557314943 + ... + 19557316129.

Almost surely, 2^{23214533541232} is an apocalyptic number.

23214533541232 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 23214533541232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25778544067584).

23214533541232 is an abundant number, since it is smaller than the sum of its proper divisors (28342554593936).

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

23214533541232 is a wasteful number, since it uses less digits than its factorization.

23214533541232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1722 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 2321453 and 3541232, that added together give a palindrome (5862685).

The spelling of 23214533541232 in words is "twenty-three trillion, two hundred fourteen billion, five hundred thirty-three million, five hundred forty-one thousand, two hundred thirty-two".