11819249519616 has 2376 divisors, whose sum is σ = 46639898160128. Its totient is φ = 2926562918400.

The previous prime is 11819249519557. The next prime is 11819249519617. The reversal of 11819249519616 is 61691594291811.

11819249519616 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 9 + 2 + 4 + 9 + 5 + 1 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11819249519617) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 176406709215 + ... + 176406709281.

Almost surely, 2^{11819249519616} is an apocalyptic number.

11819249519616 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 11819249519616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23319949080064).

11819249519616 is an abundant number, since it is smaller than the sum of its proper divisors (34820648640512).

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

11819249519616 is an frugal number, since it uses more digits than its factorization.

11819249519616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 121 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 63.

The spelling of 11819249519616 in words is "eleven trillion, eight hundred nineteen billion, two hundred forty-nine million, five hundred nineteen thousand, six hundred sixteen".