987452952192 has 768 divisors, whose sum is σ = 3548808806400. Its totient is φ = 257121091584.

The previous prime is 987452952163. The next prime is 987452952193. The reversal of 987452952192 is 291259254789.

987452952192 is a `hidden beast` number, since 9 + 8 + 7 + 452 + 95 + 2 + 1 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (987452952193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748636909 + ... + 748638227.

It is an arithmetic number, because the mean of its divisors is an integer number (4620844800).

Almost surely, 2^987452952192 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 987452952192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774404403200).

987452952192 is an abundant number, since it is smaller than the sum of its proper divisors (2561355854208).

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

987452952192 is a wasteful number, since it uses less digits than its factorization.

987452952192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1518 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 987452952192 in words is "nine hundred eighty-seven billion, four hundred fifty-two million, nine hundred fifty-two thousand, one hundred ninety-two".