18145416744 has 512 divisors, whose sum is σ = 64907673600. Its totient is φ = 4568555520.

The previous prime is 18145416733. The next prime is 18145416761. The reversal of 18145416744 is 44761454181.

18145416744 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 541 + 67 + 44 = 666.

It is a super-2 number, since 2×18145416744² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18145416744.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59105439 + ... + 59105745.

It is an arithmetic number, because the mean of its divisors is an integer number (126772800).

Almost surely, 2^18145416744 is an apocalyptic number.

18145416744 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 18145416744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32453836800).

18145416744 is an abundant number, since it is smaller than the sum of its proper divisors (46762256856).

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

18145416744 is a wasteful number, since it uses less digits than its factorization.

18145416744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 18145416744 in words is "eighteen billion, one hundred forty-five million, four hundred sixteen thousand, seven hundred forty-four".