48057106992048 has 540 divisors, whose sum is σ = 177514464638784. Its totient is φ = 12079701849600.

The previous prime is 48057106991953. The next prime is 48057106992091. The reversal of 48057106992048 is 84029960175084.

48057106992048 is a `hidden beast` number, since 480 + 5 + 7 + 1 + 0 + 6 + 99 + 20 + 48 = 666.

48057106992048 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 (63).

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 107 ways as a sum of consecutive naturals, for example, 25559190 + ... + 27374922.

Almost surely, 2^{48057106992048} is an apocalyptic number.

48057106992048 is a gapful number since it is divisible by the number (48) 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 48057106992048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88757232319392).

48057106992048 is an abundant number, since it is smaller than the sum of its proper divisors (129457357646736).

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

48057106992048 is a wasteful number, since it uses less digits than its factorization.

48057106992048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815814 (or 1815787 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 48057106992048 in words is "forty-eight trillion, fifty-seven billion, one hundred six million, nine hundred ninety-two thousand, forty-eight".