4112689152 has 384 divisors, whose sum is σ = 13384949760. Its totient is φ = 1105920000.

The previous prime is 4112689123. The next prime is 4112689153. The reversal of 4112689152 is 2519862114.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4112689152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112689153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27236277 + ... + 27236427.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 2^4112689152 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 4112689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692474880).

4112689152 is an abundant number, since it is smaller than the sum of its proper divisors (9272260608).

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

4112689152 is a wasteful number, since it uses less digits than its factorization.

4112689152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 4112689152 is about 64130.2514574830. The cubic root of 4112689152 is about 1602.1701219427.

The spelling of 4112689152 in words is "four billion, one hundred twelve million, six hundred eighty-nine thousand, one hundred fifty-two".