48786688668784 has 160 divisors (see below), whose sum is σ = 108145083771648. Its totient is φ = 21120782592000.

The previous prime is 48786688668763. The next prime is 48786688668799.

48786688668784 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 48786688668692 and 48786688668701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612158379 + ... + 612238069.

Almost surely, 2^{48786688668784} is an apocalyptic number.

48786688668784 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 48786688668784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54072541885824).

48786688668784 is an abundant number, since it is smaller than the sum of its proper divisors (59358395102864).

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

48786688668784 is a wasteful number, since it uses less digits than its factorization.

48786688668784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81767 (or 81761 counting only the distinct ones).

The product of its digits is 266355081216, while the sum is 94.

The spelling of 48786688668784 in words is "forty-eight trillion, seven hundred eighty-six billion, six hundred eighty-eight million, six hundred sixty-eight thousand, seven hundred eighty-four".