48209148763776 has 960 divisors, whose sum is σ = 194090355191040. Its totient is φ = 11558609694720.

The previous prime is 48209148763753. The next prime is 48209148763829. The reversal of 48209148763776 is 67736784190284.

48209148763776 is a `hidden beast` number, since 4 + 8 + 20 + 91 + 487 + 6 + 37 + 7 + 6 = 666.

48209148763776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 113950905 + ... + 114373191.

It is an arithmetic number, because the mean of its divisors is an integer number (202177453324).

Almost surely, 2^{48209148763776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48209148763776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97045177595520).

48209148763776 is an abundant number, since it is smaller than the sum of its proper divisors (145881206427264).

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

48209148763776 is a wasteful number, since it uses less digits than its factorization.

48209148763776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422355 (or 422323 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 48209148763776 in words is "forty-eight trillion, two hundred nine billion, one hundred forty-eight million, seven hundred sixty-three thousand, seven hundred seventy-six".