18938424348900 has 2187 divisors, whose sum is σ = 78156085015281. Its totient is φ = 3823483023360.

The previous prime is 18938424348887. The next prime is 18938424348919. The reversal of 18938424348900 is 984342483981.

The square root of 18938424348900 is 4351830.

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

18938424348900 is a `hidden beast` number, since 1 + 8 + 9 + 384 + 243 + 4 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2913582714084 + 16024841634816 = 1706922^2 + 4003104^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 728 ways as a sum of consecutive naturals, for example, 357328761274 + ... + 357328761326.

Almost surely, 2^{18938424348900} is an apocalyptic number.

18938424348900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18938424348900 is the 4351830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18938424348900

18938424348900 is an abundant number, since it is smaller than the sum of its proper divisors (59217660666381).

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

18938424348900 is a wasteful number, since it uses less digits than its factorization.

18938424348900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 18938424348900 in words is "eighteen trillion, nine hundred thirty-eight billion, four hundred twenty-four million, three hundred forty-eight thousand, nine hundred".