18153636862152 has 384 divisors, whose sum is σ = 52331090273280. Its totient is φ = 5233988390400.

The previous prime is 18153636862139. The next prime is 18153636862177. The reversal of 18153636862152 is 25126863635181.

It is a super-2 number, since 2×18153636862152² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18153636862092 and 18153636862101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18695815027 + ... + 18695815997.

It is an arithmetic number, because the mean of its divisors is an integer number (136278880920).

Almost surely, 2^{18153636862152} is an apocalyptic number.

18153636862152 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 18153636862152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26165545136640).

18153636862152 is an abundant number, since it is smaller than the sum of its proper divisors (34177453411128).

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

18153636862152 is a wasteful number, since it uses less digits than its factorization.

18153636862152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2210 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 57.

The spelling of 18153636862152 in words is "eighteen trillion, one hundred fifty-three billion, six hundred thirty-six million, eight hundred sixty-two thousand, one hundred fifty-two".