48664140000 has 480 divisors, whose sum is σ = 184279011840. Its totient is φ = 11010816000.

The previous prime is 48664139969. The next prime is 48664140061. The reversal of 48664140000 is 4146684.

48664140000 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 (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45779469 + ... + 45780531.

It is an arithmetic number, because the mean of its divisors is an integer number (383914608).

Almost surely, 2^48664140000 is an apocalyptic number.

48664140000 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 48664140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92139505920).

48664140000 is an abundant number, since it is smaller than the sum of its proper divisors (135614871840).

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

48664140000 is a wasteful number, since it uses less digits than its factorization.

48664140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 48664140000 its reverse (4146684), we get a palindrome (48668286684).

The spelling of 48664140000 in words is "forty-eight billion, six hundred sixty-four million, one hundred forty thousand".