996657913456128 has 1440 divisors, whose sum is σ = 3737659373448000. Its totient is φ = 255322414448640.

The previous prime is 996657913456063. The next prime is 996657913456151. The reversal of 996657913456128 is 821654319756699.

996657913456128 is a `hidden beast` number, since 9 + 9 + 6 + 6 + 57 + 91 + 3 + 456 + 1 + 28 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 13960909458 + ... + 13960980846.

Almost surely, 2^{996657913456128} is an apocalyptic number.

996657913456128 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996657913456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868829686724000).

996657913456128 is an abundant number, since it is smaller than the sum of its proper divisors (2741001459991872).

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

996657913456128 is a wasteful number, since it uses less digits than its factorization.

996657913456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71529 (or 71485 counting only the distinct ones).

The product of its digits is 5290790400, while the sum is 81.

The spelling of 996657913456128 in words is "nine hundred ninety-six trillion, six hundred fifty-seven billion, nine hundred thirteen million, four hundred fifty-six thousand, one hundred twenty-eight".