11829216905856 has 384 divisors, whose sum is σ = 39360604233600. Its totient is φ = 3340029394944.

The previous prime is 11829216905839. The next prime is 11829216905899. The reversal of 11829216905856 is 65850961292811.

11829216905856 is a `hidden beast` number, since 1 + 1 + 8 + 29 + 21 + 6 + 9 + 0 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 11829216905793 and 11829216905802.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1975814095 + ... + 1975820081.

It is an arithmetic number, because the mean of its divisors is an integer number (102501573525).

Almost surely, 2^{11829216905856} is an apocalyptic number.

11829216905856 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 11829216905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19680302116800).

11829216905856 is an abundant number, since it is smaller than the sum of its proper divisors (27531387327744).

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

11829216905856 is a wasteful number, since it uses less digits than its factorization.

11829216905856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8856 (or 8841 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 11829216905856 in words is "eleven trillion, eight hundred twenty-nine billion, two hundred sixteen million, nine hundred five thousand, eight hundred fifty-six".