4112532864 has 128 divisors (see below), whose sum is σ = 13241232000. Its totient is φ = 1246210560.

The previous prime is 4112532863. The next prime is 4112532899. The reversal of 4112532864 is 4682352114.

It is a happy number.

4112532864 is a `hidden beast` number, since 4 + 112 + 532 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (4112532863) 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 15 ways as a sum of consecutive naturals, for example, 16074 + ... + 92105.

It is an arithmetic number, because the mean of its divisors is an integer number (103447125).

Almost surely, 2^4112532864 is an apocalyptic number.

4112532864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6620616000).

4112532864 is an abundant number, since it is smaller than the sum of its proper divisors (9128699136).

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

4112532864 is a wasteful number, since it uses less digits than its factorization.

4112532864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108213 (or 108195 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4112532864 is about 64129.0329258129. The cubic root of 4112532864 is about 1602.1498267759.

Adding to 4112532864 its reverse (4682352114), we get a palindrome (8794884978).

The spelling of 4112532864 in words is "four billion, one hundred twelve million, five hundred thirty-two thousand, eight hundred sixty-four".