18248933984281 has 64 divisors (see below), whose sum is σ = 26318009088000. Its totient is φ = 12435258024000.

The previous prime is 18248933984263. The next prime is 18248933984291.

It is a happy number.

18248933984281 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18248933984281 - 2⁵ = 18248933984249 is a prime.

It is a super-2 number, since 2×18248933984281² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18248933984281.

It is not an unprimeable number, because it can be changed into a prime (18248933984231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8858995 + ... + 10722856.

It is an arithmetic number, because the mean of its divisors is an integer number (411218892000).

Almost surely, 2^{18248933984281} is an apocalyptic number.

18248933984281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18248933984281 is a deficient number, since it is larger than the sum of its proper divisors (8069075103719).

18248933984281 is a wasteful number, since it uses less digits than its factorization.

18248933984281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19581915 (or 19581901 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 70.

The spelling of 18248933984281 in words is "eighteen trillion, two hundred forty-eight billion, nine hundred thirty-three million, nine hundred eighty-four thousand, two hundred eighty-one".