43458149664 has 144 divisors (see below), whose sum is σ = 131391554112. Its totient is φ = 13594673664.

The previous prime is 43458149659. The next prime is 43458149753. The reversal of 43458149664 is 46694185434.

43458149664 is a `hidden beast` number, since 43 + 4 + 58 + 1 + 496 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×43458149664² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 43458149664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289179 + ... + 412965.

It is an arithmetic number, because the mean of its divisors is an integer number (912441348).

Almost surely, 2^43458149664 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 43458149664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65695777056).

43458149664 is an abundant number, since it is smaller than the sum of its proper divisors (87933404448).

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

43458149664 is a wasteful number, since it uses less digits than its factorization.

43458149664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123879 (or 123868 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 43458149664 in words is "forty-three billion, four hundred fifty-eight million, one hundred forty-nine thousand, six hundred sixty-four".