48576141600 has 288 divisors, whose sum is σ = 181192152960. Its totient is φ = 11073085440.

The previous prime is 48576141563. The next prime is 48576141661. The reversal of 48576141600 is 614167584.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 6531484 + ... + 6538916.

It is an arithmetic number, because the mean of its divisors is an integer number (629139420).

Almost surely, 2^48576141600 is an apocalyptic number.

48576141600 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 48576141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90596076480).

48576141600 is an abundant number, since it is smaller than the sum of its proper divisors (132616011360).

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

48576141600 is a wasteful number, since it uses less digits than its factorization.

48576141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7852 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 48576141600 in words is "forty-eight billion, five hundred seventy-six million, one hundred forty-one thousand, six hundred".