48924131344 has 75 divisors (see below), whose sum is σ = 104497566285. Its totient is φ = 22189580160.

The previous prime is 48924131341. The next prime is 48924131357. The reversal of 48924131344 is 44313142984.

The square root of 48924131344 is 221188.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42312490000 + 6611641344 = 205700^2 + 81312^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 48924131344.

It is not an unprimeable number, because it can be changed into a prime (48924131341) 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 14 ways as a sum of consecutive naturals, for example, 107054764 + ... + 107055220.

Almost surely, 2^48924131344 is an apocalyptic number.

48924131344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

48924131344 is the 221188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48924131344

48924131344 is an abundant number, since it is smaller than the sum of its proper divisors (55573434941).

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

48924131344 is an frugal number, since it uses more digits than its factorization.

48924131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 470 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The spelling of 48924131344 in words is "forty-eight billion, nine hundred twenty-four million, one hundred thirty-one thousand, three hundred forty-four".