18386694144 has 936 divisors, whose sum is σ = 71377684560. Its totient is φ = 4682022912.

The previous prime is 18386694143. The next prime is 18386694163. The reversal of 18386694144 is 44149668381.

It is a tau number, because it is divible by the number of its divisors (936).

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

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

Its product of digits (3981312) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18386694143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 634023922 + ... + 634023950.

It is an arithmetic number, because the mean of its divisors is an integer number (76258210).

Almost surely, 2^18386694144 is an apocalyptic number.

18386694144 is a gapful number since it is divisible by the number (14) 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 18386694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35688842280).

18386694144 is an abundant number, since it is smaller than the sum of its proper divisors (52990990416).

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

18386694144 is an equidigital number, since it uses as much as digits as its factorization.

18386694144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 18386694144 in words is "eighteen billion, three hundred eighty-six million, six hundred ninety-four thousand, one hundred forty-four".