18246400464281 has 8 divisors (see below), whose sum is σ = 19906017732864. Its totient is φ = 16586925460720.

The previous prime is 18246400464247. The next prime is 18246400464283.

18246400464281 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-18246400464281 is a prime.

It is a super-2 number, since 2×18246400464281² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18246400464283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35297990 + ... + 35811183.

It is an arithmetic number, because the mean of its divisors is an integer number (2488252216608).

Almost surely, 2^{18246400464281} is an apocalyptic number.

18246400464281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18246400464281 is a deficient number, since it is larger than the sum of its proper divisors (1659617268583).

18246400464281 is a wasteful number, since it uses less digits than its factorization.

18246400464281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71132511.

The product of its (nonzero) digits is 2359296, while the sum is 50.

The spelling of 18246400464281 in words is "eighteen trillion, two hundred forty-six billion, four hundred million, four hundred sixty-four thousand, two hundred eighty-one".