48781819125 has 192 divisors, whose sum is σ = 97141524480. Its totient is φ = 23405760000.

The previous prime is 48781819117. The next prime is 48781819129. The reversal of 48781819125 is 52191818784.

48781819125 is a `hidden beast` number, since 487 + 81 + 81 + 9 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 48781819125 - 2³ = 48781819117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48781819129) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113182660 + ... + 113183090.

It is an arithmetic number, because the mean of its divisors is an integer number (505945440).

Almost surely, 2^48781819125 is an apocalyptic number.

48781819125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48781819125 is a deficient number, since it is larger than the sum of its proper divisors (48359705355).

48781819125 is a wasteful number, since it uses less digits than its factorization.

48781819125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 632 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

The spelling of 48781819125 in words is "forty-eight billion, seven hundred eighty-one million, eight hundred nineteen thousand, one hundred twenty-five".