388744000094464 has 81 divisors (see below), whose sum is σ = 902663489401821. Its totient is φ = 166603625072640.

The previous prime is 388744000094407. The next prime is 388744000094473. The reversal of 388744000094464 is 464490000447883.

It is a happy number.

The square root of 388744000094464 is 19716592.

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., 155226481656064 + 233517518438400 = 12458992^2 + 15281280^2 .

It is a super-2 number, since 2×388744000094464² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2208170284 + ... + 2208346324.

Almost surely, 2^{388744000094464} is an apocalyptic number.

388744000094464 is the 19716592-nd square number.

It is an amenable number.

388744000094464 is an abundant number, since it is smaller than the sum of its proper divisors (513919489307357).

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

388744000094464 is an frugal number, since it uses more digits than its factorization.

388744000094464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352112 (or 176050 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 61.

The spelling of 388744000094464 in words is "three hundred eighty-eight trillion, seven hundred forty-four billion, ninety-four thousand, four hundred sixty-four".