9906251397408 has 216 divisors, whose sum is σ = 30539692926288. Its totient is φ = 3158513626752.

The previous prime is 9906251397407. The next prime is 9906251397467. The reversal of 9906251397408 is 8047931526099.

9906251397408 is a `hidden beast` number, since 9 + 90 + 6 + 2 + 5 + 139 + 7 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (9906251397403) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2909391 + ... + 5317617.

It is a 1-persistent number, because it is pandigital, but 2⋅9906251397408 = 19812502794816 is not.

Almost surely, 2^{9906251397408} 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 9906251397408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269846463144).

9906251397408 is an abundant number, since it is smaller than the sum of its proper divisors (20633441528880).

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

9906251397408 is a wasteful number, since it uses less digits than its factorization.

9906251397408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408298 (or 2408255 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 9906251397408 in words is "nine trillion, nine hundred six billion, two hundred fifty-one million, three hundred ninety-seven thousand, four hundred eight".