48085155456 has 128 divisors (see below), whose sum is σ = 137752876800. Its totient is φ = 14773751808.

The previous prime is 48085155439. The next prime is 48085155491. The reversal of 48085155456 is 65455158084.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×48085155456³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48085155399 and 48085155408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3582550 + ... + 3595946.

It is an arithmetic number, because the mean of its divisors is an integer number (1076194350).

Almost surely, 2^48085155456 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 48085155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68876438400).

48085155456 is an abundant number, since it is smaller than the sum of its proper divisors (89667721344).

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

48085155456 is a wasteful number, since it uses less digits than its factorization.

48085155456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14146 (or 14134 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 51.

The spelling of 48085155456 in words is "forty-eight billion, eighty-five million, one hundred fifty-five thousand, four hundred fifty-six".