38648786898144 has 96 divisors (see below), whose sum is σ = 107422696069920. Its totient is φ = 12124906094592.

The previous prime is 38648786898083. The next prime is 38648786898151. The reversal of 38648786898144 is 44189868784683.

38648786898144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118929672 + ... + 119254200.

It is an arithmetic number, because the mean of its divisors is an integer number (1118986417395).

Almost surely, 2^{38648786898144} is an apocalyptic number.

38648786898144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

38648786898144 is an abundant number, since it is smaller than the sum of its proper divisors (68773909171776).

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

38648786898144 is a wasteful number, since it uses less digits than its factorization.

38648786898144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397532 (or 397524 counting only the distinct ones).

The product of its digits is 14269022208, while the sum is 84.

The spelling of 38648786898144 in words is "thirty-eight trillion, six hundred forty-eight billion, seven hundred eighty-six million, eight hundred ninety-eight thousand, one hundred forty-four".