987181374816 has 576 divisors, whose sum is σ = 3642203335680. Its totient is φ = 246298890240.

The previous prime is 987181374811. The next prime is 987181374841. The reversal of 987181374816 is 618473181789.

987181374816 is a `hidden beast` number, since 9 + 8 + 7 + 18 + 137 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987181374811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608994486 + ... + 608996106.

It is an arithmetic number, because the mean of its divisors is an integer number (6323269680).

Almost surely, 2^987181374816 is an apocalyptic number.

987181374816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987181374816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821101667840).

987181374816 is an abundant number, since it is smaller than the sum of its proper divisors (2655021960864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

987181374816 is a wasteful number, since it uses less digits than its factorization.

987181374816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2888 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 63.

The spelling of 987181374816 in words is "nine hundred eighty-seven billion, one hundred eighty-one million, three hundred seventy-four thousand, eight hundred sixteen".