43158161952 has 288 divisors, whose sum is σ = 136357603200. Its totient is φ = 12886511616.

The previous prime is 43158161909. The next prime is 43158161993. The reversal of 43158161952 is 25916185134.

It is a happy number.

43158161952 is a `hidden beast` number, since 4 + 3 + 1 + 581 + 6 + 19 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 43158161898 and 43158161907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11199258 + ... + 11203110.

It is an arithmetic number, because the mean of its divisors is an integer number (473463900).

Almost surely, 2^43158161952 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 43158161952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68178801600).

43158161952 is an abundant number, since it is smaller than the sum of its proper divisors (93199441248).

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

43158161952 is a wasteful number, since it uses less digits than its factorization.

43158161952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3989 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 43158161952 in words is "forty-three billion, one hundred fifty-eight million, one hundred sixty-one thousand, nine hundred fifty-two".