986186038761 has 135 divisors (see below), whose sum is σ = 1884982922823. Its totient is φ = 511946930880.

The previous prime is 986186038759. The next prime is 986186038807. The reversal of 986186038761 is 167830681689.

The square root of 986186038761 is 993069.

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

986186038761 is a `hidden beast` number, since 9 + 8 + 6 + 18 + 603 + 8 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 817876053225 + 168309985536 = 904365^2 + 410256^2 .

It is not a de Polignac number, because 986186038761 - 2¹ = 986186038759 is a prime.

It is a super-2 number, since 2×986186038761² (a number of 25 digits) contains 22 as substring.

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 (986186038561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 688196101 + ... + 688197533.

Almost surely, 2^986186038761 is an apocalyptic number.

986186038761 is the 993069-th square number.

986186038761 is the 496535-th centered octagonal number.

It is an amenable number.

986186038761 is a deficient number, since it is larger than the sum of its proper divisors (898796884062).

986186038761 is an equidigital number, since it uses as much as digits as its factorization.

986186038761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 986186038761 in words is "nine hundred eighty-six billion, one hundred eighty-six million, thirty-eight thousand, seven hundred sixty-one".