9949393998756 has 405 divisors, whose sum is σ = 28767799096113. Its totient is φ = 2997814406400.

The previous prime is 9949393998601. The next prime is 9949393998767. The reversal of 9949393998756 is 6578993939499.

It is a happy number.

The square root of 9949393998756 is 3154266.

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

9949393998756 is a `hidden beast` number, since 9 + 9 + 4 + 9 + 393 + 99 + 87 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9850395669156 + 98998329600 = 3138534^2 + 314640^2 .

Its product of digits (32141551680) is a multiple of the sum of its prime divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 24811456156 + ... + 24811456556.

Almost surely, 2^{9949393998756} is an apocalyptic number.

9949393998756 is the 3154266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9949393998756

9949393998756 is an abundant number, since it is smaller than the sum of its proper divisors (18818405097357).

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

9949393998756 is a wasteful number, since it uses less digits than its factorization.

9949393998756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 448 counting only the distinct ones).

The product of its digits is 32141551680, while the sum is 90.

The spelling of 9949393998756 in words is "nine trillion, nine hundred forty-nine billion, three hundred ninety-three million, nine hundred ninety-eight thousand, seven hundred fifty-six".