48819010734144 has 560 divisors, whose sum is σ = 167526313257600. Its totient is φ = 13768509579264.

The previous prime is 48819010734061. The next prime is 48819010734149. The reversal of 48819010734144 is 44143701091884.

48819010734144 is a `hidden beast` number, since 4 + 8 + 8 + 190 + 107 + 341 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48819010734149) by changing a digit.

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, 1979752087 + ... + 1979776745.

Almost surely, 2^{48819010734144} 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 48819010734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83763156628800).

48819010734144 is an abundant number, since it is smaller than the sum of its proper divisors (118707302523456).

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

48819010734144 is a wasteful number, since it uses less digits than its factorization.

48819010734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25392 (or 25373 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 48819010734144 in words is "forty-eight trillion, eight hundred nineteen billion, ten million, seven hundred thirty-four thousand, one hundred forty-four".