11967859443456 has 1728 divisors, whose sum is σ = 44062127456256. Its totient is φ = 3047030784000.

The previous prime is 11967859443443. The next prime is 11967859443461. The reversal of 11967859443456 is 65434495876911.

11967859443456 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 7 + 85 + 94 + 4 + 3 + 456 = 666.

It is a super-2 number, since 2×11967859443456² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94235113665 + ... + 94235113791.

It is an arithmetic number, because the mean of its divisors is an integer number (25498916352).

Almost surely, 2^{11967859443456} is an apocalyptic number.

11967859443456 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 11967859443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22031063728128).

11967859443456 is an abundant number, since it is smaller than the sum of its proper divisors (32094268012800).

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

11967859443456 is a wasteful number, since it uses less digits than its factorization.

11967859443456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 11967859443456 in words is "eleven trillion, nine hundred sixty-seven billion, eight hundred fifty-nine million, four hundred forty-three thousand, four hundred fifty-six".