18245855857152 has 2880 divisors, whose sum is σ = 72040376263680. Its totient is φ = 4031741952000.

The previous prime is 18245855857129. The next prime is 18245855857231. The reversal of 18245855857152 is 25175855854281.

It is a happy number.

It is a super-2 number, since 2×18245855857152² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 256983885277 + ... + 256983885347.

It is an arithmetic number, because the mean of its divisors is an integer number (25014019536).

Almost surely, 2^{18245855857152} is an apocalyptic number.

18245855857152 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 18245855857152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36020188131840).

18245855857152 is an abundant number, since it is smaller than the sum of its proper divisors (53794520406528).

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

18245855857152 is a wasteful number, since it uses less digits than its factorization.

18245855857152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 161 counting only the distinct ones).

The product of its digits is 179200000, while the sum is 66.

The spelling of 18245855857152 in words is "eighteen trillion, two hundred forty-five billion, eight hundred fifty-five million, eight hundred fifty-seven thousand, one hundred fifty-two".