987714117936 has 480 divisors, whose sum is σ = 3532363580928. Its totient is φ = 260183715840.

The previous prime is 987714117919. The next prime is 987714117947. The reversal of 987714117936 is 639711417789.

987714117936 is a `hidden beast` number, since 9 + 87 + 71 + 411 + 79 + 3 + 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 an unprimeable number.

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, 555831480 + ... + 555833256.

Almost surely, 2^987714117936 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 987714117936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766181790464).

987714117936 is an abundant number, since it is smaller than the sum of its proper divisors (2544649462992).

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

987714117936 is a wasteful number, since it uses less digits than its factorization.

987714117936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3373 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 63.

The spelling of 987714117936 in words is "nine hundred eighty-seven billion, seven hundred fourteen million, one hundred seventeen thousand, nine hundred thirty-six".