23014322341032 has 128 divisors (see below), whose sum is σ = 64797826129920. Its totient is φ = 6748362720000.

The previous prime is 23014322341007. The next prime is 23014322341037.

It is a happy number.

23014322341032 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23014322341037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80887773 + ... + 81171795.

It is an arithmetic number, because the mean of its divisors is an integer number (506233016640).

Almost surely, 2^{23014322341032} is an apocalyptic number.

23014322341032 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 23014322341032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32398913064960).

23014322341032 is an abundant number, since it is smaller than the sum of its proper divisors (41783503788888).

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

23014322341032 is a wasteful number, since it uses less digits than its factorization.

23014322341032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293975 (or 293971 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2301432 and 2341032, that added together give a palindrome (4642464).

The spelling of 23014322341032 in words is "twenty-three trillion, fourteen billion, three hundred twenty-two million, three hundred forty-one thousand, thirty-two".