18436790744064 has 3168 divisors, whose sum is σ = 76897434571776. Its totient is φ = 4270833008640.

The previous prime is 18436790744017. The next prime is 18436790744117. The reversal of 18436790744064 is 46044709763481.

18436790744064 is a `hidden beast` number, since 1 + 8 + 43 + 6 + 7 + 90 + 7 + 440 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 18436790743992 and 18436790744010.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 172306455499 + ... + 172306455605.

Almost surely, 2^{18436790744064} is an apocalyptic number.

18436790744064 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 18436790744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38448717285888).

18436790744064 is an abundant number, since it is smaller than the sum of its proper divisors (58460643827712).

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

18436790744064 is a wasteful number, since it uses less digits than its factorization.

18436790744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 18436790744064 in words is "eighteen trillion, four hundred thirty-six billion, seven hundred ninety million, seven hundred forty-four thousand, sixty-four".