987273414624 has 192 divisors, whose sum is σ = 3063473602560. Its totient is φ = 272433231360.

The previous prime is 987273414571. The next prime is 987273414629. The reversal of 987273414624 is 426414372789.

It is a super-2 number, since 2×987273414624² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987273414629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10431387 + ... + 10525605.

It is an arithmetic number, because the mean of its divisors is an integer number (15955591680).

Almost surely, 2^987273414624 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 987273414624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531736801280).

987273414624 is an abundant number, since it is smaller than the sum of its proper divisors (2076200187936).

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

987273414624 is a wasteful number, since it uses less digits than its factorization.

987273414624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94773 (or 94765 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The spelling of 987273414624 in words is "nine hundred eighty-seven billion, two hundred seventy-three million, four hundred fourteen thousand, six hundred twenty-four".