18479683600 has 135 divisors (see below), whose sum is σ = 51699244701. Its totient is φ = 6329366400.

The previous prime is 18479683511. The next prime is 18479683657. The reversal of 18479683600 is 638697481.

It is a happy number.

The square root of 18479683600 is 135940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6652686096 + 11826997504 = 81564^2 + 108752^2 .

It is a super-2 number, since 2×18479683600² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19031115 + ... + 19032085.

Almost surely, 2^18479683600 is an apocalyptic number.

18479683600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18479683600 is the 135940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18479683600

18479683600 is an abundant number, since it is smaller than the sum of its proper divisors (33219561101).

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

18479683600 is an frugal number, since it uses more digits than its factorization.

18479683600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 18479683600 in words is "eighteen billion, four hundred seventy-nine million, six hundred eighty-three thousand, six hundred".