48574554600 has 864 divisors, whose sum is σ = 185790296160. Its totient is φ = 10477209600.

The previous prime is 48574554599. The next prime is 48574554601. The reversal of 48574554600 is 645547584.

48574554600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48574554599) and next prime (48574554601).

It is a self number, because there is not a number n which added to its sum of digits gives 48574554600.

It is not an unprimeable number, because it can be changed into a prime (48574554601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 453967747 + ... + 453967853.

It is an arithmetic number, because the mean of its divisors is an integer number (215035065).

Almost surely, 2^48574554600 is an apocalyptic number.

48574554600 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 48574554600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92895148080).

48574554600 is an abundant number, since it is smaller than the sum of its proper divisors (137215741560).

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

48574554600 is a wasteful number, since it uses less digits than its factorization.

48574554600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 48574554600 in words is "forty-eight billion, five hundred seventy-four million, five hundred fifty-four thousand, six hundred".