18651276416448 has 896 divisors, whose sum is σ = 61682765168640. Its totient is φ = 5558292762624.

The previous prime is 18651276416441. The next prime is 18651276416453. The reversal of 18651276416448 is 84461467215681.

It is a happy number.

18651276416448 is a `hidden beast` number, since 1 + 8 + 6 + 5 + 127 + 64 + 1 + 6 + 448 = 666.

It is a super-2 number, since 2×18651276416448² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18651276416441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9936747286 + ... + 9936749162.

It is an arithmetic number, because the mean of its divisors is an integer number (68842371840).

Almost surely, 2^{18651276416448} is an apocalyptic number.

18651276416448 is a gapful number since it is divisible by the number (18) 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 18651276416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30841382584320).

18651276416448 is an abundant number, since it is smaller than the sum of its proper divisors (43031488752192).

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

18651276416448 is a wasteful number, since it uses less digits than its factorization.

18651276416448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2065 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 18651276416448 in words is "eighteen trillion, six hundred fifty-one billion, two hundred seventy-six million, four hundred sixteen thousand, four hundred forty-eight".