9917810250336 has 336 divisors, whose sum is σ = 29522332224000. Its totient is φ = 3278138459904.

The previous prime is 9917810250323. The next prime is 9917810250367. The reversal of 9917810250336 is 6330520187199.

9917810250336 is a `hidden beast` number, since 9 + 91 + 7 + 8 + 10 + 2 + 503 + 36 = 666.

It is a super-2 number, since 2×9917810250336² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 1425174025 + ... + 1425180983.

It is an arithmetic number, because the mean of its divisors is an integer number (87864084000).

Almost surely, 2^{9917810250336} is an apocalyptic number.

9917810250336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9917810250336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761166112000).

9917810250336 is an abundant number, since it is smaller than the sum of its proper divisors (19604521973664).

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

9917810250336 is a wasteful number, since it uses less digits than its factorization.

9917810250336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 9917810250336 in words is "nine trillion, nine hundred seventeen billion, eight hundred ten million, two hundred fifty thousand, three hundred thirty-six".