48462996960 has 576 divisors, whose sum is σ = 193476366720. Its totient is φ = 10818109440.

The previous prime is 48462996949. The next prime is 48462996977. The reversal of 48462996960 is 6969926484.

48462996960 is a `hidden beast` number, since 484 + 6 + 2 + 9 + 96 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 165402574 + ... + 165402866.

It is an arithmetic number, because the mean of its divisors is an integer number (335896470).

Almost surely, 2^48462996960 is an apocalyptic number.

48462996960 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 48462996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96738183360).

48462996960 is an abundant number, since it is smaller than the sum of its proper divisors (145013369760).

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

48462996960 is a wasteful number, since it uses less digits than its factorization.

48462996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 48462996960 in words is "forty-eight billion, four hundred sixty-two million, nine hundred ninety-six thousand, nine hundred sixty".