4412153664 has 168 divisors, whose sum is σ = 13520025792. Its totient is φ = 1372293120.

The previous prime is 4412153663. The next prime is 4412153719. The reversal of 4412153664 is 4663512144.

4412153664 is a `hidden beast` number, since 4 + 41 + 21 + 536 + 64 = 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 (4412153663) 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, 539107 + ... + 547229.

It is an arithmetic number, because the mean of its divisors is an integer number (80476344).

Almost surely, 2^4412153664 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 4412153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6760012896).

4412153664 is an abundant number, since it is smaller than the sum of its proper divisors (9107872128).

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

4412153664 is a wasteful number, since it uses less digits than its factorization.

4412153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8205 (or 8192 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4412153664 is about 66424.0443213149. The cubic root of 4412153664 is about 1640.1499049966.

The spelling of 4412153664 in words is "four billion, four hundred twelve million, one hundred fifty-three thousand, six hundred sixty-four".