48915051984 has 160 divisors (see below), whose sum is σ = 144529856640. Its totient is φ = 15827954688.

The previous prime is 48915051979. The next prime is 48915052127.

48915051984 is a `hidden beast` number, since 48 + 9 + 1 + 5 + 0 + 519 + 84 = 666.

48915051984 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48915051984.

It is a congruent number.

It is an unprimeable number.

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, 7461252 + ... + 7467804.

It is an arithmetic number, because the mean of its divisors is an integer number (903311604).

Almost surely, 2^48915051984 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 48915051984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72264928320).

48915051984 is an abundant number, since it is smaller than the sum of its proper divisors (95614804656).

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

48915051984 is a wasteful number, since it uses less digits than its factorization.

48915051984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7062 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 48915051984 in words is "forty-eight billion, nine hundred fifteen million, fifty-one thousand, nine hundred eighty-four".