49282224016 has 135 divisors (see below), whose sum is σ = 106182319131. Its totient is φ = 22153424832.

The previous prime is 49282224011. The next prime is 49282224029. The reversal of 49282224016 is 61042228294.

It is a happy number.

The square root of 49282224016 is 221996.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49282224016.

It is not an unprimeable number, because it can be changed into a prime (49282224011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 388048945 + ... + 388049071.

Almost surely, 2^49282224016 is an apocalyptic number.

49282224016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

49282224016 is the 221996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49282224016

49282224016 is an abundant number, since it is smaller than the sum of its proper divisors (56900095115).

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

49282224016 is a wasteful number, since it uses less digits than its factorization.

49282224016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 49282224016 in words is "forty-nine billion, two hundred eighty-two million, two hundred twenty-four thousand, sixteen".