18254316381312 has 256 divisors, whose sum is σ = 53403368325120. Its totient is φ = 5478704824320.

The previous prime is 18254316381311. The next prime is 18254316381377. The reversal of 18254316381312 is 21318361345281.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (18254316381311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318084973 + ... + 318142355.

It is an arithmetic number, because the mean of its divisors is an integer number (208606907520).

Almost surely, 2^{18254316381312} is an apocalyptic number.

18254316381312 is a gapful number since it is divisible by the number (12) 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 18254316381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26701684162560).

18254316381312 is an abundant number, since it is smaller than the sum of its proper divisors (35149051943808).

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

18254316381312 is a wasteful number, since it uses less digits than its factorization.

18254316381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58131 (or 58119 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 18254316381312 in words is "eighteen trillion, two hundred fifty-four billion, three hundred sixteen million, three hundred eighty-one thousand, three hundred twelve".