18646667458272 has 288 divisors, whose sum is σ = 60688922112000. Its totient is φ = 5319955998720.

The previous prime is 18646667458261. The next prime is 18646667458313. The reversal of 18646667458272 is 27285476664681.

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

It is a super-2 number, since 2×18646667458272² (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 self number, because there is not a number n which added to its sum of digits gives 18646667458272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7540098828 + ... + 7540101300.

It is an arithmetic number, because the mean of its divisors is an integer number (210725424000).

Almost surely, 2^{18646667458272} is an apocalyptic number.

18646667458272 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 18646667458272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30344461056000).

18646667458272 is an abundant number, since it is smaller than the sum of its proper divisors (42042254653728).

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

18646667458272 is a wasteful number, since it uses less digits than its factorization.

18646667458272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 6355 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 18646667458272 in words is "eighteen trillion, six hundred forty-six billion, six hundred sixty-seven million, four hundred fifty-eight thousand, two hundred seventy-two".