11419119936 has 336 divisors, whose sum is σ = 39345412800. Its totient is φ = 3238050816.

The previous prime is 11419119913. The next prime is 11419119937. The reversal of 11419119936 is 63991191411.

11419119936 is a `hidden beast` number, since 11 + 419 + 1 + 199 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×11419119936² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11419119891 and 11419119900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11419119937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13293075 + ... + 13293933.

Almost surely, 2^11419119936 is an apocalyptic number.

11419119936 is a gapful number since it is divisible by the number (16) 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 11419119936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19672706400).

11419119936 is an abundant number, since it is smaller than the sum of its proper divisors (27926292864).

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

11419119936 is a wasteful number, since it uses less digits than its factorization.

11419119936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1028 counting only the distinct ones).

The product of its digits is 52488, while the sum is 45.

The spelling of 11419119936 in words is "eleven billion, four hundred nineteen million, one hundred nineteen thousand, nine hundred thirty-six".