18574376040000 has 945 divisors, whose sum is σ = 73238880063349. Its totient is φ = 4495983360000.

The previous prime is 18574376039987. The next prime is 18574376040001. The reversal of 18574376040000 is 4067347581.

The square root of 18574376040000 is 4309800.

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

18574376040000 is a `hidden beast` number, since 1 + 8 + 5 + 7 + 4 + 37 + 604 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 17693060641344 + 881315398656 = 4206312^2 + 938784^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18574376040001) 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, 28444679674 + ... + 28444680326.

Almost surely, 2^{18574376040000} is an apocalyptic number.

18574376040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18574376040000 is the 4309800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18574376040000

18574376040000 is an abundant number, since it is smaller than the sum of its proper divisors (54664504023349).

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

18574376040000 is an frugal number, since it uses more digits than its factorization.

18574376040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 18574376040000 in words is "eighteen trillion, five hundred seventy-four billion, three hundred seventy-six million, forty thousand".