48200446116 has 45 divisors (see below), whose sum is σ = 126015818929. Its totient is φ = 16065498096.

The previous prime is 48200446111. The next prime is 48200446139. The reversal of 48200446116 is 61164400284.

It is a happy number.

The square root of 48200446116 is 219546.

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

48200446116 is a `hidden beast` number, since 4 + 8 + 200 + 446 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34206502500 + 13993943616 = 184950^2 + 118296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48200446111) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 3945730 + ... + 3957926.

Almost surely, 2^48200446116 is an apocalyptic number.

48200446116 is the 219546-th square number.

It is an amenable number.

48200446116 is an abundant number, since it is smaller than the sum of its proper divisors (77815372813).

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

48200446116 is an frugal number, since it uses more digits than its factorization.

48200446116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24410 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 48200446116 by its sum of digits (36), we get a square (1735216060176 = 1317276²).

48200446116 divided by its sum of digits (36) gives a square (1338901281 = 36591²).

The spelling of 48200446116 in words is "forty-eight billion, two hundred million, four hundred forty-six thousand, one hundred sixteen".