8015884961 has 30 divisors (see below), whose sum is σ = 9471475062. Its totient is φ = 6783497280.

The previous prime is 8015884957. The next prime is 8015884967. The reversal of 8015884961 is 1694885108.

It can be written as a sum of positive squares in 3 ways, for example, as 3208542736 + 4807342225 = 56644^2 + 69335^2 .

It is not a de Polignac number, because 8015884961 - 2² = 8015884957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8015884967) 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 29 ways as a sum of consecutive naturals, for example, 28526141 + ... + 28526421.

Almost surely, 2^8015884961 is an apocalyptic number.

It is an amenable number.

8015884961 is a deficient number, since it is larger than the sum of its proper divisors (1455590101).

8015884961 is an frugal number, since it uses more digits than its factorization.

8015884961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 50.

The square root of 8015884961 is about 89531.4746946570. The cubic root of 8015884961 is about 2001.3228715625.

The spelling of 8015884961 in words is "eight billion, fifteen million, eight hundred eighty-four thousand, nine hundred sixty-one".