48834314496 has 324 divisors, whose sum is σ = 158100423936. Its totient is φ = 14479534080.

The previous prime is 48834314483. The next prime is 48834314531. The reversal of 48834314496 is 69441343884.

48834314496 is a `hidden beast` number, since 4 + 8 + 83 + 431 + 44 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13100985 + ... + 13104711.

Almost surely, 2^48834314496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48834314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79050211968).

48834314496 is an abundant number, since it is smaller than the sum of its proper divisors (109266109440).

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

48834314496 is a wasteful number, since it uses less digits than its factorization.

48834314496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3790 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 48834314496 in words is "forty-eight billion, eight hundred thirty-four million, three hundred fourteen thousand, four hundred ninety-six".