18244884542976 has 2160 divisors, whose sum is σ = 71320057215264. Its totient is φ = 4392310800384.

The previous prime is 18244884542947. The next prime is 18244884542977. The reversal of 18244884542976 is 67924548844281.

18244884542976 is a `hidden beast` number, since 1 + 8 + 2 + 4 + 4 + 8 + 8 + 4 + 542 + 9 + 76 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18244884542977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 58290365796 + ... + 58290366108.

Almost surely, 2^{18244884542976} is an apocalyptic number.

18244884542976 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 18244884542976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35660028607632).

18244884542976 is an abundant number, since it is smaller than the sum of its proper divisors (53075172672288).

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

18244884542976 is a wasteful number, since it uses less digits than its factorization.

18244884542976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 392 counting only the distinct ones).

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

The spelling of 18244884542976 in words is "eighteen trillion, two hundred forty-four billion, eight hundred eighty-four million, five hundred forty-two thousand, nine hundred seventy-six".