388563975801 has 21 divisors (see below), whose sum is σ = 582604694101. Its totient is φ = 259031430252.

The previous prime is 388563975799. The next prime is 388563975809. The reversal of 388563975801 is 108579365883.

The square root of 388563975801 is 623349.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 388563975801 - 2¹ = 388563975799 is a prime.

It is a super-2 number, since 2×388563975801² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (388563975809) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 16818880 + ... + 16841966.

Almost surely, 2^388563975801 is an apocalyptic number.

388563975801 is the 623349-th square number.

388563975801 is the 311675-th centered octagonal number.

It is an amenable number.

388563975801 is a deficient number, since it is larger than the sum of its proper divisors (194040718300).

388563975801 is an frugal number, since it uses more digits than its factorization.

388563975801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46192 (or 23090 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 388563975801 in words is "three hundred eighty-eight billion, five hundred sixty-three million, nine hundred seventy-five thousand, eight hundred one".