48603011708160 has 1728 divisors, whose sum is σ = 213997762707456. Its totient is φ = 9907494912000.

The previous prime is 48603011708123. The next prime is 48603011708161. The reversal of 48603011708160 is 6180711030684.

48603011708160 is a `hidden beast` number, since 48 + 6 + 0 + 301 + 170 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48603011708161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34155313209 + ... + 34155314631.

Almost surely, 2^{48603011708160} is an apocalyptic number.

48603011708160 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 48603011708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106998881353728).

48603011708160 is an abundant number, since it is smaller than the sum of its proper divisors (165394750999296).

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

48603011708160 is a wasteful number, since it uses less digits than its factorization.

48603011708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 48603011708160 in words is "forty-eight trillion, six hundred three billion, eleven million, seven hundred eight thousand, one hundred sixty".