48379341070080 has 504 divisors, whose sum is σ = 173906368191360. Its totient is φ = 12889248768000.

The previous prime is 48379341070057. The next prime is 48379341070111. The reversal of 48379341070080 is 8007014397384.

48379341070080 is a `hidden beast` number, since 4 + 83 + 7 + 9 + 3 + 410 + 70 + 0 + 80 = 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 = 48379341069999 and 48379341070026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1034806705 + ... + 1034853455.

It is an arithmetic number, because the mean of its divisors is an integer number (345052317840).

Almost surely, 2^{48379341070080} is an apocalyptic number.

48379341070080 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 48379341070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86953184095680).

48379341070080 is an abundant number, since it is smaller than the sum of its proper divisors (125527027121280).

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

48379341070080 is an equidigital number, since it uses as much as digits as its factorization.

48379341070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47899 (or 47870 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 48379341070080 in words is "forty-eight trillion, three hundred seventy-nine billion, three hundred forty-one million, seventy thousand, eighty".