48806241120 has 1536 divisors, whose sum is σ = 228004761600. Its totient is φ = 9459597312.

The previous prime is 48806241119. The next prime is 48806241151. The reversal of 48806241120 is 2114260884.

48806241120 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 624 + 1 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 447763626 + ... + 447763734.

It is an arithmetic number, because the mean of its divisors is an integer number (148440600).

Almost surely, 2^48806241120 is an apocalyptic number.

48806241120 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 48806241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114002380800).

48806241120 is an abundant number, since it is smaller than the sum of its proper divisors (179198520480).

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

48806241120 is a wasteful number, since it uses less digits than its factorization.

48806241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 48806241120 in words is "forty-eight billion, eight hundred six million, two hundred forty-one thousand, one hundred twenty".