48845131536384 has 960 divisors, whose sum is σ = 158472619905600. Its totient is φ = 14932928102400.

The previous prime is 48845131536373. The next prime is 48845131536463. The reversal of 48845131536384 is 48363513154884.

48845131536384 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 5 + 13 + 1 + 536 + 3 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17820185254 + ... + 17820187994.

It is an arithmetic number, because the mean of its divisors is an integer number (165075645735).

Almost surely, 2^{48845131536384} 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 48845131536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79236309952800).

48845131536384 is an abundant number, since it is smaller than the sum of its proper divisors (109627488369216).

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

48845131536384 is a wasteful number, since it uses less digits than its factorization.

48845131536384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2923 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 48845131536384 in words is "forty-eight trillion, eight hundred forty-five billion, one hundred thirty-one million, five hundred thirty-six thousand, three hundred eighty-four".