79181348438016 has 768 divisors, whose sum is σ = 262406938210560. Its totient is φ = 22773104640000.

The previous prime is 79181348437979. The next prime is 79181348438107. The reversal of 79181348438016 is 61083484318197.

79181348438016 is a `hidden beast` number, since 7 + 9 + 181 + 3 + 4 + 8 + 438 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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, 9774264366 + ... + 9774272466.

It is an arithmetic number, because the mean of its divisors is an integer number (341675700795).

Almost surely, 2^{79181348438016} 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 79181348438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131203469105280).

79181348438016 is an abundant number, since it is smaller than the sum of its proper divisors (183225589772544).

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

79181348438016 is a wasteful number, since it uses less digits than its factorization.

79181348438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8302 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 79181348438016 in words is "seventy-nine trillion, one hundred eighty-one billion, three hundred forty-eight million, four hundred thirty-eight thousand, sixteen".