1009886314761 has 15 divisors (see below), whose sum is σ = 1508609116861. Its totient is φ = 673251513588.

The previous prime is 1009886314753. The next prime is 1009886314817. The reversal of 1009886314761 is 1674136889001.

The square root of 1009886314761 is 1004931.

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

1009886314761 is a `hidden beast` number, since 1 + 0 + 0 + 98 + 86 + 3 + 1 + 476 + 1 = 666.

It is not a de Polignac number, because 1009886314761 - 2³ = 1009886314753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1009886314698 and 1009886314707.

It is not an unprimeable number, because it can be changed into a prime (1009886314861) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 8988550 + ... + 9100208.

Almost surely, 2^{1009886314761} is an apocalyptic number.

1009886314761 is the 1004931-st square number.

1009886314761 is the 502466-th centered octagonal number.

It is an amenable number.

1009886314761 is a deficient number, since it is larger than the sum of its proper divisors (498722802100).

1009886314761 is an frugal number, since it uses more digits than its factorization.

1009886314761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223330 (or 111662 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1009886314761 in words is "one trillion, nine billion, eight hundred eighty-six million, three hundred fourteen thousand, seven hundred sixty-one".