48315067436160 has 1024 divisors, whose sum is σ = 204222892032000. Its totient is φ = 10555051769856.

The previous prime is 48315067436159. The next prime is 48315067436197. The reversal of 48315067436160 is 6163476051384.

48315067436160 is a `hidden beast` number, since 4 + 8 + 3 + 1 + 506 + 74 + 3 + 6 + 1 + 60 = 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 = 48315067436097 and 48315067436106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3986714581 + ... + 3986726699.

It is an arithmetic number, because the mean of its divisors is an integer number (199436418000).

Almost surely, 2^{48315067436160} is an apocalyptic number.

48315067436160 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 48315067436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102111446016000).

48315067436160 is an abundant number, since it is smaller than the sum of its proper divisors (155907824595840).

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

48315067436160 is a wasteful number, since it uses less digits than its factorization.

48315067436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13610 (or 13592 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 48315067436160 in words is "forty-eight trillion, three hundred fifteen billion, sixty-seven million, four hundred thirty-six thousand, one hundred sixty".