18379451600 has 30 divisors (see below), whose sum is σ = 44156633430. Its totient is φ = 7351780480.

The previous prime is 18379451561. The next prime is 18379451603. The reversal of 18379451600 is 615497381.

It can be written as a sum of positive squares in 3 ways, for example, as 506970256 + 17872481344 = 22516^2 + 133688^2 .

It is a super-2 number, since 2×18379451600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18379451603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22973915 + ... + 22974714.

It is an arithmetic number, because the mean of its divisors is an integer number (1471887781).

Almost surely, 2^18379451600 is an apocalyptic number.

18379451600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18379451600 is an abundant number, since it is smaller than the sum of its proper divisors (25777181830).

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

18379451600 is a wasteful number, since it uses less digits than its factorization.

18379451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45948647 (or 45948636 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 18379451600 in words is "eighteen billion, three hundred seventy-nine million, four hundred fifty-one thousand, six hundred".