79051341144384 has 2352 divisors, whose sum is σ = 299317648475520. Its totient is φ = 20570593075200.

The previous prime is 79051341144371. The next prime is 79051341144397. The reversal of 79051341144384 is 48344114315097.

79051341144384 is a `hidden beast` number, since 7 + 9 + 0 + 513 + 4 + 1 + 1 + 4 + 43 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (79051341144371) and next prime (79051341144397).

It is a tau number, because it is divible by the number of its divisors (2352).

It is a super-2 number, since 2×79051341144384² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 79051341144384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 162323082189 + ... + 162323082675.

Almost surely, 2^{79051341144384} is an apocalyptic number.

79051341144384 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 79051341144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149658824237760).

79051341144384 is an abundant number, since it is smaller than the sum of its proper divisors (220266307331136).

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

79051341144384 is a wasteful number, since it uses less digits than its factorization.

79051341144384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 79051341144384 in words is "seventy-nine trillion, fifty-one billion, three hundred forty-one million, one hundred forty-four thousand, three hundred eighty-four".