9926118468450 has 576 divisors, whose sum is σ = 29517600752640. Its totient is φ = 2475753984000.

The previous prime is 9926118468433. The next prime is 9926118468451. The reversal of 9926118468450 is 548648116299.

9926118468450 is a `hidden beast` number, since 9 + 9 + 2 + 6 + 118 + 4 + 68 + 450 = 666.

It is not an unprimeable number, because it can be changed into a prime (9926118468451) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1683245902 + ... + 1683251798.

It is an arithmetic number, because the mean of its divisors is an integer number (51245834640).

Almost surely, 2^{9926118468450} is an apocalyptic number.

9926118468450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9926118468450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14758800376320).

9926118468450 is an abundant number, since it is smaller than the sum of its proper divisors (19591482284190).

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

9926118468450 is a wasteful number, since it uses less digits than its factorization.

9926118468450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 9926118468450 in words is "nine trillion, nine hundred twenty-six billion, one hundred eighteen million, four hundred sixty-eight thousand, four hundred fifty".