18678496812192 has 288 divisors, whose sum is σ = 63083934950400. Its totient is φ = 5129897287680.

The previous prime is 18678496812181. The next prime is 18678496812259. The reversal of 18678496812192 is 29121869487681.

18678496812192 is a `hidden beast` number, since 1 + 8 + 6 + 7 + 8 + 496 + 8 + 121 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×18678496812192² (a number of 27 digits) contains 22 as substring.

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 a self number, because there is not a number n which added to its sum of digits gives 18678496812192.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8308968 + ... + 10314840.

It is an arithmetic number, because the mean of its divisors is an integer number (219041440800).

Almost surely, 2^{18678496812192} is an apocalyptic number.

18678496812192 is a gapful number since it is divisible by the number (12) 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 18678496812192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31541967475200).

18678496812192 is an abundant number, since it is smaller than the sum of its proper divisors (44405438138208).

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

18678496812192 is a wasteful number, since it uses less digits than its factorization.

18678496812192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006076 (or 2006065 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 72.

The spelling of 18678496812192 in words is "eighteen trillion, six hundred seventy-eight billion, four hundred ninety-six million, eight hundred twelve thousand, one hundred ninety-two".