9932557347216 has 405 divisors, whose sum is σ = 34365270650529. Its totient is φ = 2669729577984.

The previous prime is 9932557347071. The next prime is 9932557347247. The reversal of 9932557347216 is 6127437552399.

The square root of 9932557347216 is 3151596.

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

9932557347216 is a `hidden beast` number, since 9 + 9 + 3 + 2 + 5 + 573 + 47 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7732959872400 + 2199597474816 = 2780820^2 + 1483104^2 .

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

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 4500477985 + ... + 4500480191.

Almost surely, 2^{9932557347216} is an apocalyptic number.

9932557347216 is the 3151596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9932557347216

9932557347216 is an abundant number, since it is smaller than the sum of its proper divisors (24432713303313).

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

9932557347216 is a wasteful number, since it uses less digits than its factorization.

9932557347216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 2236 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

The spelling of 9932557347216 in words is "nine trillion, nine hundred thirty-two billion, five hundred fifty-seven million, three hundred forty-seven thousand, two hundred sixteen".