99714879952128 has 432 divisors, whose sum is σ = 343170798647040. Its totient is φ = 27226586382336.

The previous prime is 99714879952117. The next prime is 99714879952133. The reversal of 99714879952128 is 82125997841799.

99714879952128 is a `hidden beast` number, since 9 + 9 + 7 + 1 + 4 + 87 + 9 + 9 + 521 + 2 + 8 = 666.

99714879952128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411255700 + ... + 411498092.

It is an arithmetic number, because the mean of its divisors is an integer number (794376848720).

Almost surely, 2^{99714879952128} 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 99714879952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171585399323520).

99714879952128 is an abundant number, since it is smaller than the sum of its proper divisors (243455918694912).

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

99714879952128 is a wasteful number, since it uses less digits than its factorization.

99714879952128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243554 (or 243537 counting only the distinct ones).

The product of its digits is 1646023680, while the sum is 81.

The spelling of 99714879952128 in words is "ninety-nine trillion, seven hundred fourteen billion, eight hundred seventy-nine million, nine hundred fifty-two thousand, one hundred twenty-eight".