48345995280384 has 704 divisors, whose sum is σ = 147918638407680. Its totient is φ = 15795807584256.

The previous prime is 48345995280329. The next prime is 48345995280529. The reversal of 48345995280384 is 48308259954384.

48345995280384 is a `hidden beast` number, since 4 + 8 + 3 + 4 + 5 + 99 + 528 + 0 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380677128129 + ... + 380677128255.

Almost surely, 2^{48345995280384} 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 48345995280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73959319203840).

48345995280384 is an abundant number, since it is smaller than the sum of its proper divisors (99572643127296).

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

48345995280384 is an frugal number, since it uses more digits than its factorization.

48345995280384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 48345995280384 in words is "forty-eight trillion, three hundred forty-five billion, nine hundred ninety-five million, two hundred eighty thousand, three hundred eighty-four".