18705759464 has 128 divisors (see below), whose sum is σ = 44872704000. Its totient is φ = 7116512256.

The previous prime is 18705759463. The next prime is 18705759469. The reversal of 18705759464 is 46495750781.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (18705759463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4320869 + ... + 4325195.

It is an arithmetic number, because the mean of its divisors is an integer number (350568000).

Almost surely, 2^18705759464 is an apocalyptic number.

18705759464 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 18705759464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22436352000).

18705759464 is an abundant number, since it is smaller than the sum of its proper divisors (26166944536).

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

18705759464 is a wasteful number, since it uses less digits than its factorization.

18705759464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 18705759464 in words is "eighteen billion, seven hundred five million, seven hundred fifty-nine thousand, four hundred sixty-four".