987016419169 has 27 divisors (see below), whose sum is σ = 1115473481913. Its totient is φ = 872678980800.

The previous prime is 987016419149. The next prime is 987016419251. The reversal of 987016419169 is 961914610789.

The square root of 987016419169 is 993487.

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 196700625 + 986819718544 = 14025^2 + 993388^2 .

It is a de Polignac number, because none of the positive numbers 2^k-987016419169 is a prime.

It is a super-2 number, since 2×987016419169² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (987016419149) 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, 404347989 + ... + 404350429.

Almost surely, 2^987016419169 is an apocalyptic number.

987016419169 is the 993487-th square number.

987016419169 is the 496744-th centered octagonal number.

It is an amenable number.

987016419169 is a deficient number, since it is larger than the sum of its proper divisors (128457062744).

987016419169 is an frugal number, since it uses more digits than its factorization.

987016419169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 61.

The spelling of 987016419169 in words is "nine hundred eighty-seven billion, sixteen million, four hundred nineteen thousand, one hundred sixty-nine".