18446745136064 has 112 divisors (see below), whose sum is σ = 42044923694592. Its totient is φ = 7866041705472.

The previous prime is 18446745136063. The next prime is 18446745136067. The reversal of 18446745136064 is 46063154764481.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×18446745136064² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18446745135994 and 18446745136012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18446745136063) 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 15 ways as a sum of consecutive naturals, for example, 166420949 + ... + 166531755.

It is an arithmetic number, because the mean of its divisors is an integer number (375401104416).

Almost surely, 2^{18446745136064} is an apocalyptic number.

18446745136064 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 18446745136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022461847296).

18446745136064 is an abundant number, since it is smaller than the sum of its proper divisors (23598178558528).

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

18446745136064 is a wasteful number, since it uses less digits than its factorization.

18446745136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112690 (or 112680 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 59.

The spelling of 18446745136064 in words is "eighteen trillion, four hundred forty-six billion, seven hundred forty-five million, one hundred thirty-six thousand, sixty-four".