388181333764 has 81 divisors (see below), whose sum is σ = 797809269621. Its totient is φ = 164782148160.

The previous prime is 388181333753. The next prime is 388181333783. The reversal of 388181333764 is 467333181883.

It is a happy number.

The square root of 388181333764 is 623042.

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

It can be written as a sum of positive squares in only one way, i.e., 78831792900 + 309349540864 = 280770^2 + 556192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1666014192 + ... + 1666014424.

Almost surely, 2^388181333764 is an apocalyptic number.

388181333764 is the 623042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388181333764

388181333764 is an abundant number, since it is smaller than the sum of its proper divisors (409627935857).

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

388181333764 is an equidigital number, since it uses as much as digits as its factorization.

388181333764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 55.

The spelling of 388181333764 in words is "three hundred eighty-eight billion, one hundred eighty-one million, three hundred thirty-three thousand, seven hundred sixty-four".