48488706000 has 560 divisors, whose sum is σ = 200942995968. Its totient is φ = 11080800000.

The previous prime is 48488705987. The next prime is 48488706001. The reversal of 48488706000 is 60788484.

48488706000 is a `hidden beast` number, since 48 + 488 + 70 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×48488706000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48488706001) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 10203625 + ... + 10208375.

Almost surely, 2^48488706000 is an apocalyptic number.

48488706000 is a gapful number since it is divisible by the number (40) 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 48488706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100471497984).

48488706000 is an abundant number, since it is smaller than the sum of its proper divisors (152454289968).

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

48488706000 is an equidigital number, since it uses as much as digits as its factorization.

48488706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 48488706000 in words is "forty-eight billion, four hundred eighty-eight million, seven hundred six thousand".