48259289215368 has 768 divisors, whose sum is σ = 167382319104000. Its totient is φ = 12199771584000.

The previous prime is 48259289215349. The next prime is 48259289215387. The reversal of 48259289215368 is 86351298295284.

It is a happy number.

48259289215368 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 9 + 2 + 89 + 2 + 1 + 536 + 8 = 666.

48259289215368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48259289215349) and next prime (48259289215387).

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

It is a junction number, because it is equal to n+sod(n) for n = 48259289215296 and 48259289215305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10261381705 + ... + 10261386407.

It is an arithmetic number, because the mean of its divisors is an integer number (217945728000).

Almost surely, 2^{48259289215368} 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 48259289215368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83691159552000).

48259289215368 is an abundant number, since it is smaller than the sum of its proper divisors (119123029888632).

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

48259289215368 is a wasteful number, since it uses less digits than its factorization.

48259289215368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5127 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 48259289215368 in words is "forty-eight trillion, two hundred fifty-nine billion, two hundred eighty-nine million, two hundred fifteen thousand, three hundred sixty-eight".