23135333431144 has 128 divisors (see below), whose sum is σ = 48926253588480. Its totient is φ = 10160712172800.

The previous prime is 23135333431121. The next prime is 23135333431159. The reversal of 23135333431144 is 44113433353132.

23135333431144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 23135333431097 and 23135333431106.

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, 6778589982 + ... + 6778593394.

It is an arithmetic number, because the mean of its divisors is an integer number (382236356160).

Almost surely, 2^{23135333431144} 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 23135333431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24463126794240).

23135333431144 is an abundant number, since it is smaller than the sum of its proper divisors (25790920157336).

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

23135333431144 is a wasteful number, since it uses less digits than its factorization.

23135333431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671 (or 6667 counting only the distinct ones).

The product of its digits is 466560, while the sum is 40.

Adding to 23135333431144 its reverse (44113433353132), we get a palindrome (67248766784276).

The spelling of 23135333431144 in words is "twenty-three trillion, one hundred thirty-five billion, three hundred thirty-three million, four hundred thirty-one thousand, one hundred forty-four".