48470754816 has 480 divisors, whose sum is σ = 159536931840. Its totient is φ = 14034124800.

The previous prime is 48470754811. The next prime is 48470754817. The reversal of 48470754816 is 61845707484.

48470754816 is a `hidden beast` number, since 4 + 84 + 7 + 0 + 7 + 548 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48470754811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171274611 + ... + 171274893.

It is an arithmetic number, because the mean of its divisors is an integer number (332368608).

Almost surely, 2^48470754816 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 48470754816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79768465920).

48470754816 is an abundant number, since it is smaller than the sum of its proper divisors (111066177024).

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

48470754816 is a wasteful number, since it uses less digits than its factorization.

48470754816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 48470754816 in words is "forty-eight billion, four hundred seventy million, seven hundred fifty-four thousand, eight hundred sixteen".