48408101176320 has 880 divisors, whose sum is σ = 178800878082816. Its totient is φ = 12517908480000.

The previous prime is 48408101176313. The next prime is 48408101176339. The reversal of 48408101176320 is 2367110180484.

48408101176320 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 8 + 1 + 0 + 1 + 1 + 7 + 632 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1796138845 + ... + 1796165795.

Almost surely, 2^{48408101176320} is an apocalyptic number.

48408101176320 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 48408101176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89400439041408).

48408101176320 is an abundant number, since it is smaller than the sum of its proper divisors (130392776906496).

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

48408101176320 is a wasteful number, since it uses less digits than its factorization.

48408101176320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27120 (or 27093 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 48408101176320 in words is "forty-eight trillion, four hundred eight billion, one hundred one million, one hundred seventy-six thousand, three hundred twenty".