987011455248 has 480 divisors, whose sum is σ = 3611665005312. Its totient is φ = 253957939200.

The previous prime is 987011455237. The next prime is 987011455253. The reversal of 987011455248 is 842554110789.

987011455248 is a `hidden beast` number, since 9 + 8 + 70 + 1 + 1 + 45 + 524 + 8 = 666.

It is a super-2 number, since 2×987011455248² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 987011455194 and 987011455203.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14472108 + ... + 14540148.

Almost surely, 2^987011455248 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 987011455248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805832502656).

987011455248 is an abundant number, since it is smaller than the sum of its proper divisors (2624653550064).

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

987011455248 is a wasteful number, since it uses less digits than its factorization.

987011455248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68125 (or 68107 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 987011455248 in words is "nine hundred eighty-seven billion, eleven million, four hundred fifty-five thousand, two hundred forty-eight".