17676138490000 has 75 divisors (see below), whose sum is σ = 42796716825423. Its totient is φ = 7070287224000.

The previous prime is 17676138489983. The next prime is 17676138490007. The reversal of 17676138490000 is 9483167671.

The square root of 17676138490000 is 4204300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1385809257616 + 16290329232384 = 1177204^2 + 4036128^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 17676138490000.

It is not an unprimeable number, because it can be changed into a prime (17676138490007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 420408979 + ... + 420451021.

Almost surely, 2^{17676138490000} is an apocalyptic number.

17676138490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17676138490000 is the 4204300-th square number.

It is an amenable number.

17676138490000 is an abundant number, since it is smaller than the sum of its proper divisors (25120578335423).

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

17676138490000 is an frugal number, since it uses more digits than its factorization.

17676138490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84114 (or 42050 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 17676138490000 in words is "seventeen trillion, six hundred seventy-six billion, one hundred thirty-eight million, four hundred ninety thousand".