48167921664 has 288 divisors, whose sum is σ = 145555137000. Its totient is φ = 15325986816.

The previous prime is 48167921623. The next prime is 48167921701. The reversal of 48167921664 is 46612976184.

48167921664 is a `hidden beast` number, since 481 + 6 + 7 + 92 + 16 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26791142400 + 21376779264 = 163680^2 + 146208^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 48167921664.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51848752 + ... + 51849680.

Almost surely, 2^48167921664 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 48167921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72777568500).

48167921664 is an abundant number, since it is smaller than the sum of its proper divisors (97387215336).

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

48167921664 is a wasteful number, since it uses less digits than its factorization.

48167921664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1060 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 48167921664 in words is "forty-eight billion, one hundred sixty-seven million, nine hundred twenty-one thousand, six hundred sixty-four".