23214100141232 has 160 divisors (see below), whose sum is σ = 60510168768000. Its totient is φ = 8331993538560.

The previous prime is 23214100141201. The next prime is 23214100141241.

It is a happy number.

23214100141232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6539648 + ... + 9444320.

It is an arithmetic number, because the mean of its divisors is an integer number (378188554800).

Almost surely, 2^{23214100141232} is an apocalyptic number.

23214100141232 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 23214100141232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30255084384000).

23214100141232 is an abundant number, since it is smaller than the sum of its proper divisors (37296068626768).

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

23214100141232 is a wasteful number, since it uses less digits than its factorization.

23214100141232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905211 (or 2905205 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 23214100 and 141232, that added together give a palindrome (23355332).

The spelling of 23214100141232 in words is "twenty-three trillion, two hundred fourteen billion, one hundred million, one hundred forty-one thousand, two hundred thirty-two".