48382600743360 has 560 divisors, whose sum is σ = 187044849684000. Its totient is φ = 11800292253696.

The previous prime is 48382600743247. The next prime is 48382600743397. The reversal of 48382600743360 is 6334700628384.

48382600743360 is a `hidden beast` number, since 4 + 83 + 82 + 60 + 0 + 74 + 3 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48382600743297 and 48382600743306.

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 79 ways as a sum of consecutive naturals, for example, 36069991 + ... + 37387289.

It is an arithmetic number, because the mean of its divisors is an integer number (334008660150).

Almost surely, 2^{48382600743360} is an apocalyptic number.

48382600743360 is a gapful number since it is divisible by the number (40) 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 48382600743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93522424842000).

48382600743360 is an abundant number, since it is smaller than the sum of its proper divisors (138662248940640).

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

48382600743360 is a wasteful number, since it uses less digits than its factorization.

48382600743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317450 (or 1317431 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 48382600743360 in words is "forty-eight trillion, three hundred eighty-two billion, six hundred million, seven hundred forty-three thousand, three hundred sixty".