388144681353 has 192 divisors, whose sum is σ = 730671379200. Its totient is φ = 200510069760.

The previous prime is 388144681319. The next prime is 388144681357. The reversal of 388144681353 is 353186441883.

388144681353 is a `hidden beast` number, since 38 + 8 + 14 + 468 + 135 + 3 = 666.

It is not a de Polignac number, because 388144681353 - 2²¹ = 388142584201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 388144681353.

It is not an unprimeable number, because it can be changed into a prime (388144681357) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59228325 + ... + 59234877.

It is an arithmetic number, because the mean of its divisors is an integer number (3805580100).

Almost surely, 2^388144681353 is an apocalyptic number.

388144681353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

388144681353 is a deficient number, since it is larger than the sum of its proper divisors (342526697847).

388144681353 is a wasteful number, since it uses less digits than its factorization.

388144681353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6661 (or 6632 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 388144681353 in words is "three hundred eighty-eight billion, one hundred forty-four million, six hundred eighty-one thousand, three hundred fifty-three".