11019430908144 has 320 divisors, whose sum is σ = 32280933888000. Its totient is φ = 3598207937280.

The previous prime is 11019430908119. The next prime is 11019430908151. The reversal of 11019430908144 is 44180903491011.

11019430908144 is a `hidden beast` number, since 1 + 1 + 0 + 19 + 430 + 90 + 81 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11019430908144.

It is a congruent number.

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, 4353784159 + ... + 4353786689.

It is an arithmetic number, because the mean of its divisors is an integer number (100877918400).

Almost surely, 2^{11019430908144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11019430908144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140466944000).

11019430908144 is an abundant number, since it is smaller than the sum of its proper divisors (21261502979856).

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

11019430908144 is a wasteful number, since it uses less digits than its factorization.

11019430908144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11019430908144 in words is "eleven trillion, nineteen billion, four hundred thirty million, nine hundred eight thousand, one hundred forty-four".