48140120833056 has 288 divisors, whose sum is σ = 167054501053440. Its totient is φ = 12850345170432.

The previous prime is 48140120833009. The next prime is 48140120833061. The reversal of 48140120833056 is 65033802104184.

48140120833056 is a `hidden beast` number, since 4 + 8 + 1 + 401 + 208 + 3 + 30 + 5 + 6 = 666.

48140120833056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 10078486 + ... + 14066133.

It is an arithmetic number, because the mean of its divisors is an integer number (580050350880).

Almost surely, 2^{48140120833056} is an apocalyptic number.

48140120833056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

48140120833056 is an abundant number, since it is smaller than the sum of its proper divisors (118914380220384).

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

48140120833056 is a wasteful number, since it uses less digits than its factorization.

48140120833056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24144708 (or 24144697 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 48140120833056 in words is "forty-eight trillion, one hundred forty billion, one hundred twenty million, eight hundred thirty-three thousand, fifty-six".