18514397155968 has 512 divisors, whose sum is σ = 63892000972800. Its totient is φ = 5168029962240.

The previous prime is 18514397155967. The next prime is 18514397155987. The reversal of 18514397155968 is 86955179341581.

It is a happy number.

18514397155968 is a `hidden beast` number, since 1 + 8 + 5 + 1 + 4 + 3 + 9 + 7 + 1 + 559 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18514397155896 and 18514397155905.

It is not an unprimeable number, because it can be changed into a prime (18514397155967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 649226446 + ... + 649254962.

It is an arithmetic number, because the mean of its divisors is an integer number (124789064400).

Almost surely, 2^{18514397155968} is an apocalyptic number.

18514397155968 is a gapful number since it is divisible by the number (18) 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 18514397155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31946000486400).

18514397155968 is an abundant number, since it is smaller than the sum of its proper divisors (45377603816832).

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

18514397155968 is a wasteful number, since it uses less digits than its factorization.

18514397155968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29165 (or 29147 counting only the distinct ones).

The product of its digits is 326592000, while the sum is 72.

The spelling of 18514397155968 in words is "eighteen trillion, five hundred fourteen billion, three hundred ninety-seven million, one hundred fifty-five thousand, nine hundred sixty-eight".