388893712961 has 8 divisors (see below), whose sum is σ = 422650896360. Its totient is φ = 355685427072.

The previous prime is 388893712919. The next prime is 388893712981. The reversal of 388893712961 is 169217398883.

It can be written as a sum of positive squares in 4 ways, for example, as 1830556225 + 387063156736 = 42785^2 + 622144^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 388893712961 - 2¹⁸ = 388893450817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (388893712981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137222900 + ... + 137225733.

It is an arithmetic number, because the mean of its divisors is an integer number (52831362045).

Almost surely, 2^388893712961 is an apocalyptic number.

It is an amenable number.

388893712961 is a deficient number, since it is larger than the sum of its proper divisors (33757183399).

388893712961 is a wasteful number, since it uses less digits than its factorization.

388893712961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274448755.

The product of its digits is 31352832, while the sum is 65.

The spelling of 388893712961 in words is "three hundred eighty-eight billion, eight hundred ninety-three million, seven hundred twelve thousand, nine hundred sixty-one".