9995132834064 has 405 divisors, whose sum is σ = 33135308715951. Its totient is φ = 2804384056320.

The previous prime is 9995132834021. The next prime is 9995132834081. The reversal of 9995132834064 is 4604382315999.

The square root of 9995132834064 is 3161508.

It is a perfect power (a square), and thus also a powerful number.

9995132834064 is a `hidden beast` number, since 9 + 9 + 9 + 513 + 28 + 34 + 0 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8804869290000 + 1190263544064 = 2967300^2 + 1090992^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 9995132833992 and 9995132834010.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16199566684 + ... + 16199567300.

Almost surely, 2^{9995132834064} is an apocalyptic number.

9995132834064 is the 3161508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9995132834064

9995132834064 is an abundant number, since it is smaller than the sum of its proper divisors (23140175881887).

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

9995132834064 is an equidigital number, since it uses as much as digits as its factorization.

9995132834064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 9995132834064 in words is "nine trillion, nine hundred ninety-five billion, one hundred thirty-two million, eight hundred thirty-four thousand, sixty-four".