987916525344 has 144 divisors (see below), whose sum is σ = 3212547182208. Its totient is φ = 282101999616.

The previous prime is 987916525331. The next prime is 987916525357. The reversal of 987916525344 is 443525619789.

987916525344 is a `hidden beast` number, since 9 + 8 + 7 + 91 + 6 + 5 + 2 + 534 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (987916525331) and next prime (987916525357).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×987916525344² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3444549 + ... + 3720315.

It is an arithmetic number, because the mean of its divisors is an integer number (22309355432).

Almost surely, 2^987916525344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987916525344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606273591104).

987916525344 is an abundant number, since it is smaller than the sum of its proper divisors (2224630656864).

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

987916525344 is a wasteful number, since it uses less digits than its factorization.

987916525344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277567 (or 277556 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 987916525344 in words is "nine hundred eighty-seven billion, nine hundred sixteen million, five hundred twenty-five thousand, three hundred forty-four".