18687291494400 has 1755 divisors, whose sum is σ = 73993701984741. Its totient is φ = 4661240463360.

The previous prime is 18687291494357. The next prime is 18687291494407. The reversal of 18687291494400 is 449419278681.

The square root of 18687291494400 is 4322880.

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

18687291494400 is a `hidden beast` number, since 1 + 8 + 6 + 87 + 2 + 9 + 149 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6727424937984 + 11959866556416 = 2593728^2 + 3458304^2 .

It is not an unprimeable number, because it can be changed into a prime (18687291494407) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 236547993561 + ... + 236547993639.

Almost surely, 2^{18687291494400} is an apocalyptic number.

18687291494400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18687291494400 is the 4322880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18687291494400

18687291494400 is an abundant number, since it is smaller than the sum of its proper divisors (55306410490341).

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

18687291494400 is an frugal number, since it uses more digits than its factorization.

18687291494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 18687291494400 in words is "eighteen trillion, six hundred eighty-seven billion, two hundred ninety-one million, four hundred ninety-four thousand, four hundred".