48797279784 has 144 divisors (see below), whose sum is σ = 146706929460. Its totient is φ = 14640384000.

The previous prime is 48797279779. The next prime is 48797279821.

48797279784 is a `hidden beast` number, since 487 + 9 + 7 + 2 + 79 + 78 + 4 = 666.

48797279784 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 48448412100 + 348867684 = 220110^2 + 18678^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 35 ways as a sum of consecutive naturals, for example, 852184 + ... + 907640.

Almost surely, 2^48797279784 is an apocalyptic number.

48797279784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48797279784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73353464730).

48797279784 is an abundant number, since it is smaller than the sum of its proper divisors (97909649676).

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

48797279784 is a wasteful number, since it uses less digits than its factorization.

48797279784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55592 (or 55574 counting only the distinct ones).

The product of its digits is 398297088, while the sum is 72.

The spelling of 48797279784 in words is "forty-eight billion, seven hundred ninety-seven million, two hundred seventy-nine thousand, seven hundred eighty-four".