11051504106336 has 144 divisors (see below), whose sum is σ = 31825393000128. Its totient is φ = 3637419264000.

The previous prime is 11051504106317. The next prime is 11051504106341. The reversal of 11051504106336 is 63360140515011.

11051504106336 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 1 + 5 + 0 + 4 + 10 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11051504106336² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11051504106336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10157676 + ... + 11192916.

It is an arithmetic number, because the mean of its divisors is an integer number (221009673612).

Almost surely, 2^{11051504106336} is an apocalyptic number.

11051504106336 is a gapful number since it is divisible by the number (16) 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 11051504106336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912696500064).

11051504106336 is an abundant number, since it is smaller than the sum of its proper divisors (20773888893792).

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

11051504106336 is a wasteful number, since it uses less digits than its factorization.

11051504106336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035725 (or 1035714 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 11051504106336 in words is "eleven trillion, fifty-one billion, five hundred four million, one hundred six thousand, three hundred thirty-six".