48466575072 has 192 divisors, whose sum is σ = 143051650560. Its totient is φ = 15963236352.

The previous prime is 48466575071. The next prime is 48466575103. The reversal of 48466575072 is 27057566484.

It is a happy number.

48466575072 is a `hidden beast` number, since 4 + 8 + 4 + 66 + 575 + 0 + 7 + 2 = 666.

48466575072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (48466575071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45593613 + ... + 45594675.

It is an arithmetic number, because the mean of its divisors is an integer number (745060680).

Almost surely, 2^48466575072 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 48466575072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71525825280).

48466575072 is an abundant number, since it is smaller than the sum of its proper divisors (94585075488).

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

48466575072 is a wasteful number, since it uses less digits than its factorization.

48466575072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 48466575072 in words is "forty-eight billion, four hundred sixty-six million, five hundred seventy-five thousand, seventy-two".