11444046799680 has 672 divisors, whose sum is σ = 45761695469568. Its totient is φ = 2597222707200.

The previous prime is 11444046799663. The next prime is 11444046799699. The reversal of 11444046799680 is 8699764044411.

11444046799680 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 0 + 467 + 9 + 96 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34078995 + ... + 34413165.

Almost surely, 2^{11444046799680} is an apocalyptic number.

11444046799680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444046799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22880847734784).

11444046799680 is an abundant number, since it is smaller than the sum of its proper divisors (34317648669888).

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

11444046799680 is a wasteful number, since it uses less digits than its factorization.

11444046799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334275 (or 334262 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 11444046799680 in words is "eleven trillion, four hundred forty-four billion, forty-six million, seven hundred ninety-nine thousand, six hundred eighty".