388248625216 has 63 divisors (see below), whose sum is σ = 782147824957. Its totient is φ = 191215700480.

The previous prime is 388248625187. The next prime is 388248625243. The reversal of 388248625216 is 612526842883.

The square root of 388248625216 is 623096.

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., 110409998400 + 277838626816 = 332280^2 + 527104^2 .

It is a super-2 number, since 2×388248625216² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 353917980 + ... + 353919076.

Almost surely, 2^388248625216 is an apocalyptic number.

388248625216 is the 623096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388248625216

388248625216 is an abundant number, since it is smaller than the sum of its proper divisors (393899199741).

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

388248625216 is an frugal number, since it uses more digits than its factorization.

388248625216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 1170 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 55.

It can be divided in two parts, 38824862 and 5216, that added together give a triangular number (38830078 = T₈₈₁₂).

The spelling of 388248625216 in words is "three hundred eighty-eight billion, two hundred forty-eight million, six hundred twenty-five thousand, two hundred sixteen".