48229171200 has 1080 divisors, whose sum is σ = 208437440400. Its totient is φ = 10899947520.

The previous prime is 48229171163. The next prime is 48229171261. The reversal of 48229171200 is 217192284.

48229171200 is a `hidden beast` number, since 482 + 2 + 9 + 171 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 541900756 + ... + 541900844.

It is an arithmetic number, because the mean of its divisors is an integer number (192997630).

Almost surely, 2^48229171200 is an apocalyptic number.

48229171200 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 48229171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104218720200).

48229171200 is an abundant number, since it is smaller than the sum of its proper divisors (160208269200).

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

48229171200 is an equidigital number, since it uses as much as digits as its factorization.

48229171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 48229171200 in words is "forty-eight billion, two hundred twenty-nine million, one hundred seventy-one thousand, two hundred".