48918468480 has 256 divisors, whose sum is σ = 180462643200. Its totient is φ = 11039588352.

The previous prime is 48918468409. The next prime is 48918468491. The reversal of 48918468480 is 8486481984.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1038724 + ... + 1084796.

It is an arithmetic number, because the mean of its divisors is an integer number (704932200).

Almost surely, 2^48918468480 is an apocalyptic number.

48918468480 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 48918468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90231321600).

48918468480 is an abundant number, since it is smaller than the sum of its proper divisors (131544174720).

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

48918468480 is a wasteful number, since it uses less digits than its factorization.

48918468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46181 (or 46169 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 60.

The spelling of 48918468480 in words is "forty-eight billion, nine hundred eighteen million, four hundred sixty-eight thousand, four hundred eighty".