48679406318592 has 1584 divisors, whose sum is σ = 178501172129280. Its totient is φ = 12691626393600.

The previous prime is 48679406318579. The next prime is 48679406318629. The reversal of 48679406318592 is 29581360497684.

48679406318592 is a `hidden beast` number, since 48 + 6 + 79 + 406 + 31 + 85 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 48679406318592.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105595241242 + ... + 105595241702.

It is an arithmetic number, because the mean of its divisors is an integer number (112690133920).

It is a 1-persistent number, because it is pandigital, but 2⋅48679406318592 = 97358812637184 is not.

Almost surely, 2^{48679406318592} is an apocalyptic number.

48679406318592 is a gapful number since it is divisible by the number (42) 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 48679406318592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89250586064640).

48679406318592 is an abundant number, since it is smaller than the sum of its proper divisors (129821765810688).

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

48679406318592 is a wasteful number, since it uses less digits than its factorization.

48679406318592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 48679406318592 in words is "forty-eight trillion, six hundred seventy-nine billion, four hundred six million, three hundred eighteen thousand, five hundred ninety-two".