48214674144 has 192 divisors, whose sum is σ = 173078599680. Its totient is φ = 12715937280.

The previous prime is 48214674143. The next prime is 48214674181. The reversal of 48214674144 is 44147641284.

48214674144 is a `hidden beast` number, since 48 + 2 + 1 + 467 + 4 + 144 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48214674144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48214674143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227992 + ... + 385239.

It is an arithmetic number, because the mean of its divisors is an integer number (901451040).

Almost surely, 2^48214674144 is an apocalyptic number.

It is an amenable number.

48214674144 is an abundant number, since it is smaller than the sum of its proper divisors (124863925536).

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

48214674144 is a wasteful number, since it uses less digits than its factorization.

48214674144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613270 (or 613256 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 48214674144 in words is "forty-eight billion, two hundred fourteen million, six hundred seventy-four thousand, one hundred forty-four".