48814419360 has 576 divisors, whose sum is σ = 188329276800. Its totient is φ = 10581516288.

The previous prime is 48814419337. The next prime is 48814419371. The reversal of 48814419360 is 6391441884.

48814419360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40242114 + ... + 40243326.

It is an arithmetic number, because the mean of its divisors is an integer number (326960550).

Almost surely, 2^48814419360 is an apocalyptic number.

48814419360 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 48814419360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94164638400).

48814419360 is an abundant number, since it is smaller than the sum of its proper divisors (139514857440).

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

48814419360 is a wasteful number, since it uses less digits than its factorization.

48814419360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 48814419360 in words is "forty-eight billion, eight hundred fourteen million, four hundred nineteen thousand, three hundred sixty".