48484800000 has 1440 divisors, whose sum is σ = 221081724864. Its totient is φ = 9953280000.

The previous prime is 48484799959. The next prime is 48484800019. The reversal of 48484800000 is 848484.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1310399982 + ... + 1310400018.

Almost surely, 2^48484800000 is an apocalyptic number.

48484800000 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 48484800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110540862432).

48484800000 is an abundant number, since it is smaller than the sum of its proper divisors (172596924864).

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

48484800000 is an equidigital number, since it uses as much as digits as its factorization.

48484800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 48484800000 in words is "forty-eight billion, four hundred eighty-four million, eight hundred thousand".