18842466779136 has 2016 divisors, whose sum is σ = 76247022031488. Its totient is φ = 4494741995520.

The previous prime is 18842466779119. The next prime is 18842466779161. The reversal of 18842466779136 is 63197766424881.

18842466779136 is a `hidden beast` number, since 1 + 8 + 8 + 4 + 2 + 466 + 77 + 91 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 95647039390 + ... + 95647039586.

It is an arithmetic number, because the mean of its divisors is an integer number (37820943468).

Almost surely, 2^{18842466779136} is an apocalyptic number.

18842466779136 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 18842466779136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38123511015744).

18842466779136 is an abundant number, since it is smaller than the sum of its proper divisors (57404555252352).

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

18842466779136 is an frugal number, since it uses more digits than its factorization.

18842466779136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 233 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 18842466779136 in words is "eighteen trillion, eight hundred forty-two billion, four hundred sixty-six million, seven hundred seventy-nine thousand, one hundred thirty-six".