48125074261824 has 336 divisors, whose sum is σ = 161957450357248. Its totient is φ = 13374359691264.

The previous prime is 48125074261793. The next prime is 48125074262017. The reversal of 48125074261824 is 42816247052184.

48125074261824 is a `hidden beast` number, since 4 + 8 + 12 + 5 + 0 + 7 + 4 + 2 + 618 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512101689 + ... + 512195655.

Almost surely, 2^{48125074261824} 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 48125074261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80978725178624).

48125074261824 is an abundant number, since it is smaller than the sum of its proper divisors (113832376095424).

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

48125074261824 is a wasteful number, since it uses less digits than its factorization.

48125074261824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97462 (or 97449 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 48125074261824 in words is "forty-eight trillion, one hundred twenty-five billion, seventy-four million, two hundred sixty-one thousand, eight hundred twenty-four".