11296490998144 has 256 divisors, whose sum is σ = 26480447631360. Its totient is φ = 4746606796800.

The previous prime is 11296490998127. The next prime is 11296490998157. The reversal of 11296490998144 is 44189909469211.

It is a super-2 number, since 2×11296490998144² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11296490998144.

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 31 ways as a sum of consecutive naturals, for example, 776010514 + ... + 776025070.

It is an arithmetic number, because the mean of its divisors is an integer number (103439248560).

Almost surely, 2^{11296490998144} 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 11296490998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13240223815680).

11296490998144 is an abundant number, since it is smaller than the sum of its proper divisors (15183956633216).

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

11296490998144 is a wasteful number, since it uses less digits than its factorization.

11296490998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15409 (or 15397 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 67.

The spelling of 11296490998144 in words is "eleven trillion, two hundred ninety-six billion, four hundred ninety million, nine hundred ninety-eight thousand, one hundred forty-four".