48633618600 has 288 divisors, whose sum is σ = 188410173120. Its totient is φ = 11012060160.

The previous prime is 48633618589. The next prime is 48633618601. The reversal of 48633618600 is 681633684.

48633618600 is a `hidden beast` number, since 4 + 8 + 6 + 3 + 36 + 1 + 8 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48633618601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1330164 + ... + 1366236.

It is an arithmetic number, because the mean of its divisors is an integer number (654201990).

Almost surely, 2^48633618600 is an apocalyptic number.

48633618600 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 48633618600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94205086560).

48633618600 is an abundant number, since it is smaller than the sum of its proper divisors (139776554520).

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

48633618600 is a wasteful number, since it uses less digits than its factorization.

48633618600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36209 (or 36197 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 48633618600 in words is "forty-eight billion, six hundred thirty-three million, six hundred eighteen thousand, six hundred".