988049916049 has 27 divisors (see below), whose sum is σ = 1221097071537. Its totient is φ = 796986860544.

The previous prime is 988049916041. The next prime is 988049916053. The reversal of 988049916049 is 940619940889.

The square root of 988049916049 is 994007.

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

It can be written as a sum of positive squares in 4 ways, for example, as 193242005649 + 794807910400 = 439593^2 + 891520^2 .

It is not a de Polignac number, because 988049916049 - 2³ = 988049916041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (988049916041) 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, 118282657 + ... + 118291009.

Almost surely, 2^988049916049 is an apocalyptic number.

988049916049 is the 994007-th square number.

988049916049 is the 497004-th centered octagonal number.

It is an amenable number.

988049916049 is a deficient number, since it is larger than the sum of its proper divisors (233047155488).

988049916049 is an frugal number, since it uses more digits than its factorization.

988049916049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16754 (or 8377 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 67.

The spelling of 988049916049 in words is "nine hundred eighty-eight billion, forty-nine million, nine hundred sixteen thousand, forty-nine".