11004246984192 has 320 divisors, whose sum is σ = 36851932896768. Its totient is φ = 2858242252800.

The previous prime is 11004246984131. The next prime is 11004246984197. The reversal of 11004246984192 is 29148964240011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004246984197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13926442 + ... + 14695382.

Almost surely, 2^{11004246984192} is an apocalyptic number.

11004246984192 is a gapful number since it is divisible by the number (12) 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 11004246984192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425966448384).

11004246984192 is an abundant number, since it is smaller than the sum of its proper divisors (25847685912576).

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

11004246984192 is an frugal number, since it uses more digits than its factorization.

11004246984192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769002 (or 768964 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 11004246984192 in words is "eleven trillion, four billion, two hundred forty-six million, nine hundred eighty-four thousand, one hundred ninety-two".