11819199456 has 192 divisors, whose sum is σ = 35043321600. Its totient is φ = 3875102208.

The previous prime is 11819199443. The next prime is 11819199467. The reversal of 11819199456 is 65499191811.

11819199456 is a `hidden beast` number, since 1 + 18 + 1 + 91 + 99 + 456 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15993135 + ... + 15993873.

It is an arithmetic number, because the mean of its divisors is an integer number (182517300).

Almost surely, 2^11819199456 is an apocalyptic number.

11819199456 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 11819199456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521660800).

11819199456 is an abundant number, since it is smaller than the sum of its proper divisors (23224122144).

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

11819199456 is a wasteful number, since it uses less digits than its factorization.

11819199456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

The product of its digits is 699840, while the sum is 54.

The spelling of 11819199456 in words is "eleven billion, eight hundred nineteen million, one hundred ninety-nine thousand, four hundred fifty-six".