23402132004096 has 216 divisors, whose sum is σ = 67619965107240. Its totient is φ = 7783865008128.

The previous prime is 23402132004091. The next prime is 23402132004149. The reversal of 23402132004096 is 69040023120432.

23402132004096 is a `hidden beast` number, since 2 + 3 + 40 + 2 + 1 + 3 + 200 + 409 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5949962496 + 23396182041600 = 77136^2 + 4836960^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 23402132004096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23402132004091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3004506570 + ... + 3004514358.

It is an arithmetic number, because the mean of its divisors is an integer number (313055394015).

Almost surely, 2^{23402132004096} 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 23402132004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33809982553620).

23402132004096 is an abundant number, since it is smaller than the sum of its proper divisors (44217833103144).

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

23402132004096 is a wasteful number, since it uses less digits than its factorization.

23402132004096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10444 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 23402132004096 in words is "twenty-three trillion, four hundred two billion, one hundred thirty-two million, four thousand, ninety-six".