11794416490000 has 225 divisors, whose sum is σ = 29082915104529. Its totient is φ = 4632183840000.

The previous prime is 11794416489979. The next prime is 11794416490007. The reversal of 11794416490000 is 9461449711.

The square root of 11794416490000 is 3434300.

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

It can be written as a sum of positive squares in 7 ways, for example, as 11670996368656 + 123420121344 = 3416284^2 + 351312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11794416490007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20949229719 + ... + 20949230281.

Almost surely, 2^{11794416490000} is an apocalyptic number.

11794416490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11794416490000 is the 3434300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11794416490000

11794416490000 is an abundant number, since it is smaller than the sum of its proper divisors (17288498614529).

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

11794416490000 is an frugal number, since it uses more digits than its factorization.

11794416490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 11794416490000 in words is "eleven trillion, seven hundred ninety-four billion, four hundred sixteen million, four hundred ninety thousand".