11451341006616 has 256 divisors, whose sum is σ = 34431033139200. Its totient is φ = 3103041908736.

The previous prime is 11451341006603. The next prime is 11451341006647. The reversal of 11451341006616 is 61660014315411.

It is a super-2 number, since 2×11451341006616² (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 63 ways as a sum of consecutive naturals, for example, 239980776 + ... + 240028488.

It is an arithmetic number, because the mean of its divisors is an integer number (134496223200).

Almost surely, 2^{11451341006616} 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 11451341006616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17215516569600).

11451341006616 is an abundant number, since it is smaller than the sum of its proper divisors (22979692132584).

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

11451341006616 is a wasteful number, since it uses less digits than its factorization.

11451341006616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48278 (or 48274 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 11451341006616 in words is "eleven trillion, four hundred fifty-one billion, three hundred forty-one million, six thousand, six hundred sixteen".