48581071334208 has 1008 divisors, whose sum is σ = 174760312708800. Its totient is φ = 13325720002560.

The previous prime is 48581071334141. The next prime is 48581071334233. The reversal of 48581071334208 is 80243317018584.

48581071334208 is a `hidden beast` number, since 4 + 8 + 5 + 81 + 0 + 7 + 133 + 420 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3955785028 + ... + 3955797308.

It is an arithmetic number, because the mean of its divisors is an integer number (173373326100).

Almost surely, 2^{48581071334208} is an apocalyptic number.

48581071334208 is a gapful number since it is divisible by the number (48) 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 48581071334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87380156354400).

48581071334208 is an abundant number, since it is smaller than the sum of its proper divisors (126179241374592).

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

48581071334208 is a wasteful number, since it uses less digits than its factorization.

48581071334208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12530 (or 12501 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 48581071334208 in words is "forty-eight trillion, five hundred eighty-one billion, seventy-one million, three hundred thirty-four thousand, two hundred eight".