18689557641216 has 384 divisors, whose sum is σ = 62575199930880. Its totient is φ = 4818980044800.

The previous prime is 18689557641199. The next prime is 18689557641233. The reversal of 18689557641216 is 61214675598681.

It is an interprime number because it is at equal distance from previous prime (18689557641199) and next prime (18689557641233).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64668876 + ... + 64957236.

It is an arithmetic number, because the mean of its divisors is an integer number (162956249820).

Almost surely, 2^{18689557641216} is an apocalyptic number.

18689557641216 is a gapful number since it is divisible by the number (16) 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 18689557641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31287599965440).

18689557641216 is an abundant number, since it is smaller than the sum of its proper divisors (43885642289664).

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

18689557641216 is a wasteful number, since it uses less digits than its factorization.

18689557641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288541 (or 288521 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 69.

The spelling of 18689557641216 in words is "eighteen trillion, six hundred eighty-nine billion, five hundred fifty-seven million, six hundred forty-one thousand, two hundred sixteen".