11146305494880 has 192 divisors, whose sum is σ = 39026781158400. Its totient is φ = 2971227225600.

The previous prime is 11146305494843. The next prime is 11146305494911. The reversal of 11146305494880 is 8849450364111.

11146305494880 is a `hidden beast` number, since 1 + 1 + 1 + 46 + 30 + 5 + 494 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11001705 + ... + 11972055.

It is an arithmetic number, because the mean of its divisors is an integer number (203264485200).

Almost surely, 2^{11146305494880} is an apocalyptic number.

11146305494880 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 11146305494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19513390579200).

11146305494880 is an abundant number, since it is smaller than the sum of its proper divisors (27880475663520).

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

11146305494880 is a wasteful number, since it uses less digits than its factorization.

11146305494880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973034 (or 973020 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 11146305494880 in words is "eleven trillion, one hundred forty-six billion, three hundred five million, four hundred ninety-four thousand, eight hundred eighty".