4181145696 has 576 divisors, whose sum is σ = 15637224960. Its totient is φ = 1077027840.

The previous prime is 4181145691. The next prime is 4181145707. The reversal of 4181145696 is 6965411814.

4181145696 is a `hidden beast` number, since 4 + 1 + 81 + 1 + 4 + 569 + 6 = 666.

4181145696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181145691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39076075 + ... + 39076181.

It is an arithmetic number, because the mean of its divisors is an integer number (27147960).

Almost surely, 2^4181145696 is an apocalyptic number.

4181145696 is the 40896-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4181145696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818612480).

4181145696 is an abundant number, since it is smaller than the sum of its proper divisors (11456079264).

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

4181145696 is a wasteful number, since it uses less digits than its factorization.

4181145696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 4181145696 is about 64661.7792517342. The cubic root of 4181145696 is about 1611.0107327049.

The spelling of 4181145696 in words is "four billion, one hundred eighty-one million, one hundred forty-five thousand, six hundred ninety-six".