48446209728 has 448 divisors, whose sum is σ = 172180300800. Its totient is φ = 13048750080.

The previous prime is 48446209727. The next prime is 48446209759. The reversal of 48446209728 is 82790264484.

48446209728 is a `hidden beast` number, since 4 + 8 + 4 + 4 + 620 + 9 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (48446209723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63660868 + ... + 63661628.

Almost surely, 2^48446209728 is an apocalyptic number.

48446209728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48446209728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86090150400).

48446209728 is an abundant number, since it is smaller than the sum of its proper divisors (123734091072).

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

48446209728 is a wasteful number, since it uses less digits than its factorization.

48446209728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 48446209728 in words is "forty-eight billion, four hundred forty-six million, two hundred nine thousand, seven hundred twenty-eight".