18671046820416 has 896 divisors, whose sum is σ = 59390587238400. Its totient is φ = 5740432588800.

The previous prime is 18671046820411. The next prime is 18671046820417. The reversal of 18671046820416 is 61402864017681.

18671046820416 is a `hidden beast` number, since 1 + 8 + 67 + 104 + 68 + 2 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18671046820411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46561213816 + ... + 46561214216.

Almost surely, 2^{18671046820416} is an apocalyptic number.

18671046820416 is a gapful number since it is divisible by the number (16) 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 18671046820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29695293619200).

18671046820416 is an abundant number, since it is smaller than the sum of its proper divisors (40719540417984).

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

18671046820416 is a wasteful number, since it uses less digits than its factorization.

18671046820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 18671046820416 in words is "eighteen trillion, six hundred seventy-one billion, forty-six million, eight hundred twenty thousand, four hundred sixteen".