4114695564 has 96 divisors (see below), whose sum is σ = 12269698560. Its totient is φ = 1168105536.

The previous prime is 4114695551. The next prime is 4114695569. The reversal of 4114695564 is 4655964114.

4114695564 is a `hidden beast` number, since 41 + 1 + 46 + 9 + 5 + 564 = 666.

It is not an unprimeable number, because it can be changed into a prime (4114695569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101359 + ... + 136025.

It is an arithmetic number, because the mean of its divisors is an integer number (127809360).

Almost surely, 2^4114695564 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 4114695564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134849280).

4114695564 is an abundant number, since it is smaller than the sum of its proper divisors (8155002996).

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

4114695564 is a wasteful number, since it uses less digits than its factorization.

4114695564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34844 (or 34836 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 4114695564 is about 64145.8928069444. The cubic root of 4114695564 is about 1602.4306239015.

The spelling of 4114695564 in words is "four billion, one hundred fourteen million, six hundred ninety-five thousand, five hundred sixty-four".