79018144128 has 384 divisors, whose sum is σ = 290418186240. Its totient is φ = 20022681600.

The previous prime is 79018144111. The next prime is 79018144133. The reversal of 79018144128 is 82144181097.

79018144128 is a `hidden beast` number, since 7 + 9 + 0 + 181 + 441 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3626001 + ... + 3647727.

It is an arithmetic number, because the mean of its divisors is an integer number (756297360).

Almost surely, 2^79018144128 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 79018144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145209093120).

79018144128 is an abundant number, since it is smaller than the sum of its proper divisors (211400042112).

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

79018144128 is a wasteful number, since it uses less digits than its factorization.

79018144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21806 (or 21791 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 79018144128 in words is "seventy-nine billion, eighteen million, one hundred forty-four thousand, one hundred twenty-eight".