11005745135616 has 1600 divisors, whose sum is σ = 42112411945560. Its totient is φ = 2840427233280.

The previous prime is 11005745135591. The next prime is 11005745135689. The reversal of 11005745135616 is 61653154750011.

11005745135616 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 5 + 74 + 5 + 13 + 561 + 6 = 666.

It is a super-2 number, since 2×11005745135616² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 70100287410 + ... + 70100287566.

Almost surely, 2^{11005745135616} is an apocalyptic number.

11005745135616 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 11005745135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21056205972780).

11005745135616 is an abundant number, since it is smaller than the sum of its proper divisors (31106666809944).

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

11005745135616 is an frugal number, since it uses more digits than its factorization.

11005745135616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

Adding to 11005745135616 its reverse (61653154750011), we get a palindrome (72658899885627).

The spelling of 11005745135616 in words is "eleven trillion, five billion, seven hundred forty-five million, one hundred thirty-five thousand, six hundred sixteen".