11546526066016 has 192 divisors, whose sum is σ = 24841377872640. Its totient is φ = 5261527613440.

The previous prime is 11546526066007. The next prime is 11546526066059. The reversal of 11546526066016 is 61066062564511.

It is a super-2 number, since 2×11546526066016² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1689814536 + ... + 1689821368.

It is an arithmetic number, because the mean of its divisors is an integer number (129382176420).

Almost surely, 2^{11546526066016} is an apocalyptic number.

11546526066016 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 11546526066016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420688936320).

11546526066016 is an abundant number, since it is smaller than the sum of its proper divisors (13294851806624).

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

11546526066016 is a wasteful number, since it uses less digits than its factorization.

11546526066016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 11546526066016 in words is "eleven trillion, five hundred forty-six billion, five hundred twenty-six million, sixty-six thousand, sixteen".