43129448064 has 192 divisors, whose sum is σ = 125375421600. Its totient is φ = 14230702080.

The previous prime is 43129447979. The next prime is 43129448071. The reversal of 43129448064 is 46084492134.

43129448064 is a `hidden beast` number, since 43 + 129 + 4 + 480 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75532899 + ... + 75533469.

Almost surely, 2^43129448064 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 43129448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62687710800).

43129448064 is an abundant number, since it is smaller than the sum of its proper divisors (82245973536).

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

43129448064 is a wasteful number, since it uses less digits than its factorization.

43129448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 43129448064 in words is "forty-three billion, one hundred twenty-nine million, four hundred forty-eight thousand, sixty-four".