48664320000 has 960 divisors, whose sum is σ = 184216032000. Its totient is φ = 11354112000.

The previous prime is 48664319993. The next prime is 48664320007. The reversal of 48664320000 is 2346684.

It is an interprime number because it is at equal distance from previous prime (48664319993) and next prime (48664320007).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48664320007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1678079986 + ... + 1678080014.

It is an arithmetic number, because the mean of its divisors is an integer number (191891700).

Almost surely, 2^48664320000 is an apocalyptic number.

48664320000 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 48664320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92108016000).

48664320000 is an abundant number, since it is smaller than the sum of its proper divisors (135551712000).

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

48664320000 is a wasteful number, since it uses less digits than its factorization.

48664320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 48664320000 its reverse (2346684), we get a palindrome (48666666684).

The spelling of 48664320000 in words is "forty-eight billion, six hundred sixty-four million, three hundred twenty thousand".