986352881409 has 27 divisors (see below), whose sum is σ = 1657376280963. Its totient is φ = 563618300112.

The previous prime is 986352881383. The next prime is 986352881441. The reversal of 986352881409 is 904188253689.

The square root of 986352881409 is 993153.

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

986352881409 is a `hidden beast` number, since 9 + 8 + 63 + 528 + 8 + 1 + 40 + 9 = 666.

986352881409 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 544090640625 + 442262240784 = 737625^2 + 665028^2 .

It is not a de Polignac number, because 986352881409 - 2¹⁵ = 986352848641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (986352881489) 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, 20832567 + ... + 20879859.

Almost surely, 2^986352881409 is an apocalyptic number.

986352881409 is the 993153-rd square number.

986352881409 is the 496577-th centered octagonal number.

It is an amenable number.

986352881409 is a deficient number, since it is larger than the sum of its proper divisors (671023399554).

986352881409 is an frugal number, since it uses more digits than its factorization.

986352881409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94606 (or 47303 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 986352881409 in words is "nine hundred eighty-six billion, three hundred fifty-two million, eight hundred eighty-one thousand, four hundred nine".