18133222132740 has 576 divisors, whose sum is σ = 60529896000000. Its totient is φ = 4028941762560.

The previous prime is 18133222132631. The next prime is 18133222132747. The reversal of 18133222132740 is 4723122233181.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (18133222132747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14518191636 + ... + 14518192884.

It is an arithmetic number, because the mean of its divisors is an integer number (105086625000).

Almost surely, 2^{18133222132740} is an apocalyptic number.

18133222132740 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 18133222132740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30264948000000).

18133222132740 is an abundant number, since it is smaller than the sum of its proper divisors (42396673867260).

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

18133222132740 is a wasteful number, since it uses less digits than its factorization.

18133222132740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 18133222132740 in words is "eighteen trillion, one hundred thirty-three billion, two hundred twenty-two million, one hundred thirty-two thousand, seven hundred forty".