11146880583000 has 512 divisors, whose sum is σ = 40816836403200. Its totient is φ = 2809707264000.

The previous prime is 11146880582989. The next prime is 11146880583001. The reversal of 11146880583000 is 38508864111.

11146880583000 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 68 + 8 + 0 + 583 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11146880583001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35836144 + ... + 36145856.

It is an arithmetic number, because the mean of its divisors is an integer number (79720383600).

Almost surely, 2^{11146880583000} is an apocalyptic number.

11146880583000 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 11146880583000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408418201600).

11146880583000 is an abundant number, since it is smaller than the sum of its proper divisors (29669955820200).

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

11146880583000 is a wasteful number, since it uses less digits than its factorization.

11146880583000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309817 (or 309797 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 11146880583000 in words is "eleven trillion, one hundred forty-six billion, eight hundred eighty million, five hundred eighty-three thousand".