11449969411104 has 384 divisors, whose sum is σ = 38872698439680. Its totient is φ = 3211397010432.

The previous prime is 11449969411099. The next prime is 11449969411141. The reversal of 11449969411104 is 40111496994411.

11449969411104 is a `hidden beast` number, since 1 + 1 + 4 + 499 + 6 + 9 + 41 + 1 + 104 = 666.

It is a super-3 number, since 3×11449969411104³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78738847 + ... + 78884129.

It is an arithmetic number, because the mean of its divisors is an integer number (101230985520).

Almost surely, 2^{11449969411104} is an apocalyptic number.

11449969411104 is a gapful number since it is divisible by the number (14) 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 11449969411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19436349219840).

11449969411104 is an abundant number, since it is smaller than the sum of its proper divisors (27422729028576).

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

11449969411104 is a wasteful number, since it uses less digits than its factorization.

11449969411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145549 (or 145535 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 11449969411104 in words is "eleven trillion, four hundred forty-nine billion, nine hundred sixty-nine million, four hundred eleven thousand, one hundred four".