23431435414100 has 144 divisors (see below), whose sum is σ = 59086441725696. Its totient is φ = 7899244416000.

The previous prime is 23431435414091. The next prime is 23431435414111. The reversal of 23431435414100 is 141453413432.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17906120 + ... + 19170080.

It is an arithmetic number, because the mean of its divisors is an integer number (410322511984).

Almost surely, 2^{23431435414100} is an apocalyptic number.

23431435414100 is a gapful number since it is divisible by the number (20) 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 23431435414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29543220862848).

23431435414100 is an abundant number, since it is smaller than the sum of its proper divisors (35655006311596).

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

23431435414100 is a wasteful number, since it uses less digits than its factorization.

23431435414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264426 (or 1264419 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 23431435414100 its reverse (141453413432), we get a palindrome (23572888827532).

The spelling of 23431435414100 in words is "twenty-three trillion, four hundred thirty-one billion, four hundred thirty-five million, four hundred fourteen thousand, one hundred".