48971018147184 has 360 divisors, whose sum is σ = 161642833384032. Its totient is φ = 13798334914560.

The previous prime is 48971018147167. The next prime is 48971018147209. The reversal of 48971018147184 is 48174181017984.

48971018147184 is a `hidden beast` number, since 4 + 8 + 9 + 7 + 1 + 0 + 1 + 81 + 471 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 175011292 + ... + 175290884.

Almost surely, 2^{48971018147184} 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 48971018147184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80821416692016).

48971018147184 is an abundant number, since it is smaller than the sum of its proper divisors (112671815236848).

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

48971018147184 is a wasteful number, since it uses less digits than its factorization.

48971018147184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279965 (or 279949 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 63.

The spelling of 48971018147184 in words is "forty-eight trillion, nine hundred seventy-one billion, eighteen million, one hundred forty-seven thousand, one hundred eighty-four".