48713371200 has 756 divisors, whose sum is σ = 192904669308. Its totient is φ = 11645337600.

The previous prime is 48713371177. The next prime is 48713371207. The reversal of 48713371200 is 217331784.

48713371200 is a `hidden beast` number, since 4 + 87 + 1 + 3 + 371 + 200 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 40294941696 + 8418429504 = 200736^2 + 91752^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48713371207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 90042930 + ... + 90043470.

Almost surely, 2^48713371200 is an apocalyptic number.

48713371200 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 48713371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96452334654).

48713371200 is an abundant number, since it is smaller than the sum of its proper divisors (144191298108).

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

48713371200 is a wasteful number, since it uses less digits than its factorization.

48713371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 48713371200 in words is "forty-eight billion, seven hundred thirteen million, three hundred seventy-one thousand, two hundred".