18138702400 has 567 divisors, whose sum is σ = 57781053729. Its totient is φ = 5585448960.

The previous prime is 18138702377. The next prime is 18138702401. The reversal of 18138702400 is 420783181.

It is a happy number.

The square root of 18138702400 is 134680.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10467745344 + 7670957056 = 102312^2 + 87584^2 .

It is not an unprimeable number, because it can be changed into a prime (18138702401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 490235182 + ... + 490235218.

Almost surely, 2^18138702400 is an apocalyptic number.

18138702400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18138702400 is the 134680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18138702400

18138702400 is an abundant number, since it is smaller than the sum of its proper divisors (39642351329).

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

18138702400 is a wasteful number, since it uses less digits than its factorization.

18138702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 18138702400 in words is "eighteen billion, one hundred thirty-eight million, seven hundred two thousand, four hundred".