79245348223104 has 2688 divisors, whose sum is σ = 303707984993280. Its totient is φ = 20127980666880.

The previous prime is 79245348223021. The next prime is 79245348223117. The reversal of 79245348223104 is 40132284354297.

79245348223104 is a `hidden beast` number, since 7 + 9 + 2 + 4 + 53 + 482 + 2 + 3 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 270461939182 + ... + 270461939474.

It is an arithmetic number, because the mean of its divisors is an integer number (112986601560).

Almost surely, 2^{79245348223104} is an apocalyptic number.

79245348223104 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79245348223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151853992496640).

79245348223104 is an abundant number, since it is smaller than the sum of its proper divisors (224462636770176).

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

79245348223104 is a wasteful number, since it uses less digits than its factorization.

79245348223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 79245348223104 in words is "seventy-nine trillion, two hundred forty-five billion, three hundred forty-eight million, two hundred twenty-three thousand, one hundred four".