11149984454400 has 3456 divisors, whose sum is σ = 49013442938880. Its totient is φ = 2452488192000.

The previous prime is 11149984454359. The next prime is 11149984454407. The reversal of 11149984454400 is 445448994111.

11149984454400 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 9 + 98 + 4 + 4 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11149984454407) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 98672428744 + ... + 98672428856.

It is an arithmetic number, because the mean of its divisors is an integer number (14182130480).

Almost surely, 2^{11149984454400} is an apocalyptic number.

11149984454400 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 11149984454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24506721469440).

11149984454400 is an abundant number, since it is smaller than the sum of its proper divisors (37863458484480).

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

11149984454400 is a wasteful number, since it uses less digits than its factorization.

11149984454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 11149984454400 in words is "eleven trillion, one hundred forty-nine billion, nine hundred eighty-four million, four hundred fifty-four thousand, four hundred".