987185938464 has 288 divisors, whose sum is σ = 3226477363200. Its totient is φ = 283158996480.

The previous prime is 987185938451. The next prime is 987185938469. The reversal of 987185938464 is 464839581789.

987185938464 is a `hidden beast` number, since 9 + 8 + 7 + 185 + 9 + 384 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 987185938392 and 987185938401.

It is not an unprimeable number, because it can be changed into a prime (987185938469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76979157 + ... + 76991979.

It is an arithmetic number, because the mean of its divisors is an integer number (11203046400).

Almost surely, 2^987185938464 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 987185938464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613238681600).

987185938464 is an abundant number, since it is smaller than the sum of its proper divisors (2239291424736).

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

987185938464 is a wasteful number, since it uses less digits than its factorization.

987185938464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14148 (or 14137 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 987185938464 in words is "nine hundred eighty-seven billion, one hundred eighty-five million, nine hundred thirty-eight thousand, four hundred sixty-four".