49812883344 has 135 divisors (see below), whose sum is σ = 162228254097. Its totient is φ = 14226895872.

The previous prime is 49812883339. The next prime is 49812883361. The reversal of 49812883344 is 44338821894.

The square root of 49812883344 is 223188.

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

49812883344 is a `hidden beast` number, since 498 + 1 + 2 + 88 + 33 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32464832400 + 17348050944 = 180180^2 + 131712^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18746464 + ... + 18749120.

Almost surely, 2^49812883344 is an apocalyptic number.

49812883344 is the 223188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49812883344

49812883344 is an abundant number, since it is smaller than the sum of its proper divisors (112415370753).

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

49812883344 is an equidigital number, since it uses as much as digits as its factorization.

49812883344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 2669 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

It can be divided in two parts, 49812 and 883344, that added together give a square (933156 = 966²).

The spelling of 49812883344 in words is "forty-nine billion, eight hundred twelve million, eight hundred eighty-three thousand, three hundred forty-four".