18007162248192 has 352 divisors, whose sum is σ = 53497452180480. Its totient is φ = 5346857779200.

The previous prime is 18007162248149. The next prime is 18007162248211. The reversal of 18007162248192 is 29184226170081.

It is a super-2 number, since 2×18007162248192² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3871673067 + ... + 3871677717.

It is an arithmetic number, because the mean of its divisors is an integer number (151981398240).

Almost surely, 2^{18007162248192} is an apocalyptic number.

18007162248192 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 18007162248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26748726090240).

18007162248192 is an abundant number, since it is smaller than the sum of its proper divisors (35490289932288).

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

18007162248192 is a wasteful number, since it uses less digits than its factorization.

18007162248192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 18007162248192 in words is "eighteen trillion, seven billion, one hundred sixty-two million, two hundred forty-eight thousand, one hundred ninety-two".