18974736000000 has 1925 divisors, whose sum is σ = 77909142105685. Its totient is φ = 4599936000000.

The previous prime is 18974735999983. The next prime is 18974736000079. The reversal of 18974736000000 is 63747981.

The square root of 18974736000000 is 4356000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 16623690310656 + 2351045689344 = 4077216^2 + 1533312^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 18974736000000.

It is an unprimeable number.

It is a polite number, since it can be written in 174 ways as a sum of consecutive naturals, for example, 1724975999995 + ... + 1724976000005.

Almost surely, 2^{18974736000000} is an apocalyptic number.

18974736000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18974736000000 is the 4356000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18974736000000

18974736000000 is an abundant number, since it is smaller than the sum of its proper divisors (58934406105685).

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

18974736000000 is an frugal number, since it uses more digits than its factorization.

18974736000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

Adding to 18974736000000 its reverse (63747981), we get a palindrome (18974799747981).

The spelling of 18974736000000 in words is "eighteen trillion, nine hundred seventy-four billion, seven hundred thirty-six million", and thus it is an aban number.