11451454216160 has 192 divisors, whose sum is σ = 32570025868800. Its totient is φ = 3716851525632.

The previous prime is 11451454216087. The next prime is 11451454216183. The reversal of 11451454216160 is 6161245415411.

It is a super-2 number, since 2×11451454216160² (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, 29021471 + ... + 29413409.

It is an arithmetic number, because the mean of its divisors is an integer number (169635551400).

Almost surely, 2^{11451454216160} is an apocalyptic number.

11451454216160 is a gapful number since it is divisible by the number (10) 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 11451454216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285012934400).

11451454216160 is an abundant number, since it is smaller than the sum of its proper divisors (21118571652640).

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

11451454216160 is a wasteful number, since it uses less digits than its factorization.

11451454216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393353 (or 393345 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The spelling of 11451454216160 in words is "eleven trillion, four hundred fifty-one billion, four hundred fifty-four million, two hundred sixteen thousand, one hundred sixty".