18481015404192 has 384 divisors, whose sum is σ = 58041407692800. Its totient is φ = 5091332198400.

The previous prime is 18481015404191. The next prime is 18481015404329. The reversal of 18481015404192 is 29140451018481.

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 (18481015404191) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 34862659 + ... + 35388797.

It is an arithmetic number, because the mean of its divisors is an integer number (151149499200).

Almost surely, 2^{18481015404192} is an apocalyptic number.

18481015404192 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 18481015404192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29020703846400).

18481015404192 is an abundant number, since it is smaller than the sum of its proper divisors (39560392288608).

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

18481015404192 is a wasteful number, since it uses less digits than its factorization.

18481015404192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526260 (or 526252 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 18481015404192 in words is "eighteen trillion, four hundred eighty-one billion, fifteen million, four hundred four thousand, one hundred ninety-two".