48695733759684 has 144 divisors (see below), whose sum is σ = 126555144085440. Its totient is φ = 14452707409920.

The previous prime is 48695733759683. The next prime is 48695733759709.

48695733759684 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 48695733759597 and 48695733759606.

It is not an unprimeable number, because it can be changed into a prime (48695733759683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213830872 + ... + 214058480.

It is an arithmetic number, because the mean of its divisors is an integer number (878855167260).

Almost surely, 2^{48695733759684} is an apocalyptic number.

48695733759684 is a gapful number since it is divisible by the number (44) 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 48695733759684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63277572042720).

48695733759684 is an abundant number, since it is smaller than the sum of its proper divisors (77859410325756).

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

48695733759684 is a wasteful number, since it uses less digits than its factorization.

48695733759684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228310 (or 228255 counting only the distinct ones).

The product of its digits is 32920473600, while the sum is 84.

The spelling of 48695733759684 in words is "forty-eight trillion, six hundred ninety-five billion, seven hundred thirty-three million, seven hundred fifty-nine thousand, six hundred eighty-four".