11819114472000 has 672 divisors, whose sum is σ = 42982139071872. Its totient is φ = 2859563520000.

The previous prime is 11819114471993. The next prime is 11819114472023. The reversal of 11819114472000 is 27441191811.

11819114472000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11819114472000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1571060239 + ... + 1571067761.

It is an arithmetic number, because the mean of its divisors is an integer number (63961516476).

Almost surely, 2^{11819114472000} is an apocalyptic number.

11819114472000 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 11819114472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21491069535936).

11819114472000 is an abundant number, since it is smaller than the sum of its proper divisors (31163024599872).

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

11819114472000 is a wasteful number, since it uses less digits than its factorization.

11819114472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8116 (or 8085 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

The spelling of 11819114472000 in words is "eleven trillion, eight hundred nineteen billion, one hundred fourteen million, four hundred seventy-two thousand".