8888906961 has 27 divisors (see below), whose sum is σ = 14117815803. Its totient is φ = 5385330720.

The previous prime is 8888906959. The next prime is 8888906963. The reversal of 8888906961 is 1696098888.

The square root of 8888906961 is 94281.

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

It is an interprime number because it is at equal distance from previous prime (8888906959) and next prime (8888906963).

It can be written as a sum of positive squares in only one way, i.e., 5988438225 + 2900468736 = 77385^2 + 53856^2 .

It is not a de Polignac number, because 8888906961 - 2¹ = 8888906959 is a prime.

It is a super-2 number, since 2×8888906961² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8888906963) 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, 3109845 + ... + 3112701.

Almost surely, 2^8888906961 is an apocalyptic number.

8888906961 is the 94281-st square number.

8888906961 is the 47141-st centered octagonal number.

It is an amenable number.

8888906961 is a deficient number, since it is larger than the sum of its proper divisors (5228908842).

8888906961 is an equidigital number, since it uses as much as digits as its factorization.

8888906961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The cubic root of 8888906961 is about 2071.4897411579.

It can be divided in two parts, 8888 and 906961, that added together give a square (915849 = 957²).

The spelling of 8888906961 in words is "eight billion, eight hundred eighty-eight million, nine hundred six thousand, nine hundred sixty-one".