11564116674000 has 320 divisors, whose sum is σ = 40757071380480. Its totient is φ = 2797561920000.

The previous prime is 11564116673969. The next prime is 11564116674013. The reversal of 11564116674000 is 47661146511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31431105 + ... + 31796895.

It is an arithmetic number, because the mean of its divisors is an integer number (127365848064).

Almost surely, 2^{11564116674000} is an apocalyptic number.

11564116674000 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 11564116674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378535690240).

11564116674000 is an abundant number, since it is smaller than the sum of its proper divisors (29192954706480).

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

11564116674000 is a wasteful number, since it uses less digits than its factorization.

11564116674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366307 (or 366291 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 11564116674000 in words is "eleven trillion, five hundred sixty-four billion, one hundred sixteen million, six hundred seventy-four thousand".