48465109728 has 432 divisors, whose sum is σ = 167147416800. Its totient is φ = 13826598912.

The previous prime is 48465109723. The next prime is 48465109729. The reversal of 48465109728 is 82790156484.

It is a happy number.

48465109728 is a `hidden beast` number, since 4 + 8 + 465 + 109 + 72 + 8 = 666.

48465109728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48465109723) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72013200 + ... + 72013872.

Almost surely, 2^48465109728 is an apocalyptic number.

48465109728 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 48465109728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83573708400).

48465109728 is an abundant number, since it is smaller than the sum of its proper divisors (118682307072).

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

48465109728 is an frugal number, since it uses more digits than its factorization.

48465109728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 48465109728 in words is "forty-eight billion, four hundred sixty-five million, one hundred nine thousand, seven hundred twenty-eight".