11546221365536 has 192 divisors, whose sum is σ = 28641657905280. Its totient is φ = 4502993264640.

The previous prime is 11546221365527. The next prime is 11546221365557. The reversal of 11546221365536 is 63556312264511.

It is a super-3 number, since 3×11546221365536³ (a number of 40 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3355196 + ... + 5860868.

It is an arithmetic number, because the mean of its divisors is an integer number (149175301590).

Almost surely, 2^{11546221365536} is an apocalyptic number.

11546221365536 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 11546221365536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320828952640).

11546221365536 is an abundant number, since it is smaller than the sum of its proper divisors (17095436539744).

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

11546221365536 is a wasteful number, since it uses less digits than its factorization.

11546221365536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505779 (or 2505771 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 50.

The spelling of 11546221365536 in words is "eleven trillion, five hundred forty-six billion, two hundred twenty-one million, three hundred sixty-five thousand, five hundred thirty-six".