11434742165000 has 480 divisors, whose sum is σ = 35788569616800. Its totient is φ = 3376477440000.

The previous prime is 11434742164921. The next prime is 11434742165069. The reversal of 11434742165000 is 56124743411.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51093344 + ... + 51316656.

It is an arithmetic number, because the mean of its divisors is an integer number (74559520035).

Almost surely, 2^{11434742165000} is an apocalyptic number.

11434742165000 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 11434742165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17894284808400).

11434742165000 is an abundant number, since it is smaller than the sum of its proper divisors (24353827451800).

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

11434742165000 is a wasteful number, since it uses less digits than its factorization.

11434742165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223383 (or 223357 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 11434742165000 in words is "eleven trillion, four hundred thirty-four billion, seven hundred forty-two million, one hundred sixty-five thousand".