18023614414848 has 2048 divisors, whose sum is σ = 68235251712000. Its totient is φ = 4643802316800.

The previous prime is 18023614414847. The next prime is 18023614414901. The reversal of 18023614414848 is 84841441632081.

18023614414848 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 3 + 614 + 4 + 14 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×18023614414848² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18023614414794 and 18023614414803.

It is not an unprimeable number, because it can be changed into a prime (18023614414847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 295469088738 + ... + 295469088798.

It is an arithmetic number, because the mean of its divisors is an integer number (33317994000).

Almost surely, 2^{18023614414848} is an apocalyptic number.

18023614414848 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 18023614414848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34117625856000).

18023614414848 is an abundant number, since it is smaller than the sum of its proper divisors (50211637297152).

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

18023614414848 is an frugal number, since it uses more digits than its factorization.

18023614414848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 18023614414848 in words is "eighteen trillion, twenty-three billion, six hundred fourteen million, four hundred fourteen thousand, eight hundred forty-eight".