18595434816 has 448 divisors, whose sum is σ = 65263288320. Its totient is φ = 5080320000.

The previous prime is 18595434791. The next prime is 18595434817. The reversal of 18595434816 is 61843459581.

It is a happy number.

18595434816 is a `hidden beast` number, since 1 + 8 + 59 + 543 + 48 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×18595434816² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18595434817) 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, 37872331 + ... + 37872821.

Almost surely, 2^18595434816 is an apocalyptic number.

18595434816 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 18595434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32631644160).

18595434816 is an abundant number, since it is smaller than the sum of its proper divisors (46667853504).

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

18595434816 is a wasteful number, since it uses less digits than its factorization.

18595434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 635 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 18595434816 in words is "eighteen billion, five hundred ninety-five million, four hundred thirty-four thousand, eight hundred sixteen".