48386446416 has 400 divisors, whose sum is σ = 175434450048. Its totient is φ = 12507955200.

The previous prime is 48386446403. The next prime is 48386446453. The reversal of 48386446416 is 61464468384.

It is a happy number.

48386446416 is a `hidden beast` number, since 4 + 83 + 86 + 446 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23250496 + ... + 23252576.

Almost surely, 2^48386446416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48386446416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87717225024).

48386446416 is an abundant number, since it is smaller than the sum of its proper divisors (127048003632).

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

48386446416 is a wasteful number, since it uses less digits than its factorization.

48386446416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2337 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 48386446416 in words is "forty-eight billion, three hundred eighty-six million, four hundred forty-six thousand, four hundred sixteen".