18451768486464 has 168 divisors, whose sum is σ = 54932304143808. Its totient is φ = 6141079825920.

The previous prime is 18451768486439. The next prime is 18451768486499. The reversal of 18451768486464 is 46468486715481.

It is a happy number.

18451768486464 is a `hidden beast` number, since 1 + 8 + 4 + 5 + 1 + 7 + 6 + 84 + 86 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18451768486392 and 18451768486401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9145254 + ... + 10979034.

It is an arithmetic number, because the mean of its divisors is an integer number (326978000856).

Almost surely, 2^{18451768486464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18451768486464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27466152071904).

18451768486464 is an abundant number, since it is smaller than the sum of its proper divisors (36480535657344).

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

18451768486464 is an equidigital number, since it uses as much as digits as its factorization.

18451768486464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834455 (or 1834433 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 18451768486464 in words is "eighteen trillion, four hundred fifty-one billion, seven hundred sixty-eight million, four hundred eighty-six thousand, four hundred sixty-four".