18550938126400 has 567 divisors, whose sum is σ = 48921630058119. Its totient is φ = 6923303761920.

The previous prime is 18550938126307. The next prime is 18550938126421. The reversal of 18550938126400 is 462183905581.

It is a happy number.

The square root of 18550938126400 is 4307080.

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

It can be written as a sum of positive squares in 4 ways, for example, as 254992681024 + 18295945445376 = 504968^2 + 4277376^2 .

It is a super-2 number, since 2×18550938126400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 234822001561 + ... + 234822001639.

Almost surely, 2^{18550938126400} is an apocalyptic number.

18550938126400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18550938126400 is the 4307080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18550938126400

18550938126400 is an abundant number, since it is smaller than the sum of its proper divisors (30370691931719).

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

18550938126400 is an frugal number, since it uses more digits than its factorization.

18550938126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 18550938126400 in words is "eighteen trillion, five hundred fifty billion, nine hundred thirty-eight million, one hundred twenty-six thousand, four hundred".