48585165696 has 192 divisors, whose sum is σ = 147365010000. Its totient is φ = 15322079232.

The previous prime is 48585165649. The next prime is 48585165781. The reversal of 48585165696 is 69656158584.

It is a happy number.

48585165696 is a `hidden beast` number, since 4 + 8 + 58 + 5 + 16 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31364730 + ... + 31366278.

Almost surely, 2^48585165696 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 48585165696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73682505000).

48585165696 is an abundant number, since it is smaller than the sum of its proper divisors (98779844304).

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

48585165696 is a wasteful number, since it uses less digits than its factorization.

48585165696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 3006 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 63.

The spelling of 48585165696 in words is "forty-eight billion, five hundred eighty-five million, one hundred sixty-five thousand, six hundred ninety-six".