11001337490752 has 336 divisors, whose sum is σ = 27656568227520. Its totient is φ = 4311167680512.

The previous prime is 11001337490743. The next prime is 11001337490753. The reversal of 11001337490752 is 25709473310011.

It is a junction number, because it is equal to n+sod(n) for n = 11001337490699 and 11001337490708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001337490753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457706243 + ... + 1457713789.

Almost surely, 2^{11001337490752} 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 11001337490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828284113760).

11001337490752 is an abundant number, since it is smaller than the sum of its proper divisors (16655230736768).

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

11001337490752 is a wasteful number, since it uses less digits than its factorization.

11001337490752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8349 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 11001337490752 in words is "eleven trillion, one billion, three hundred thirty-seven million, four hundred ninety thousand, seven hundred fifty-two".