23405335013016 has 192 divisors, whose sum is σ = 69340096800000. Its totient is φ = 7073267224320.

The previous prime is 23405335012999. The next prime is 23405335013017. The reversal of 23405335013016 is 61031053350432.

23405335013016 is a `hidden beast` number, since 2 + 3 + 40 + 533 + 50 + 1 + 30 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23405335013017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574216845 + ... + 574257603.

It is an arithmetic number, because the mean of its divisors is an integer number (361146337500).

Almost surely, 2^{23405335013016} 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 23405335013016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34670048400000).

23405335013016 is an abundant number, since it is smaller than the sum of its proper divisors (45934761786984).

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

23405335013016 is a wasteful number, since it uses less digits than its factorization.

23405335013016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42734 (or 42727 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 23405335013016 its reverse (61031053350432), we get a palindrome (84436388363448).

The spelling of 23405335013016 in words is "twenty-three trillion, four hundred five billion, three hundred thirty-five million, thirteen thousand, sixteen".