48688749312 has 288 divisors, whose sum is σ = 156074999808. Its totient is φ = 13173608448.

The previous prime is 48688749287. The next prime is 48688749313. The reversal of 48688749312 is 21394788684.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (48688749313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12733833 + ... + 12737655.

Almost surely, 2^48688749312 is an apocalyptic number.

48688749312 is a gapful number since it is divisible by the number (42) 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 48688749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78037499904).

48688749312 is an abundant number, since it is smaller than the sum of its proper divisors (107386250496).

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

48688749312 is a wasteful number, since it uses less digits than its factorization.

48688749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3961 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

It can be divided in two parts, 48 and 688749312, that multiplied together give a square (33059966976 = 181824²).

The spelling of 48688749312 in words is "forty-eight billion, six hundred eighty-eight million, seven hundred forty-nine thousand, three hundred twelve".