388989216100 has 81 divisors (see below), whose sum is σ = 863098848633. Its totient is φ = 152170380960.

The previous prime is 388989216067. The next prime is 388989216101. The reversal of 388989216100 is 1612989883.

The square root of 388989216100 is 623690.

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., 140036117796 + 248953098304 = 374214^2 + 498952^2 .

It is a super-2 number, since 2×388989216100² (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 (388989216101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 293133637 + ... + 293134963.

Almost surely, 2^388989216100 is an apocalyptic number.

388989216100 is the 623690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388989216100

388989216100 is an abundant number, since it is smaller than the sum of its proper divisors (474109632533).

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

388989216100 is an equidigital number, since it uses as much as digits as its factorization.

388989216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 55.

The spelling of 388989216100 in words is "three hundred eighty-eight billion, nine hundred eighty-nine million, two hundred sixteen thousand, one hundred".