11969064674784 has 720 divisors, whose sum is σ = 41183330217120. Its totient is φ = 3293253089280.

The previous prime is 11969064674711. The next prime is 11969064674807. The reversal of 11969064674784 is 48747646096911.

11969064674784 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 90 + 6 + 4 + 67 + 478 + 4 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14578641094 + ... + 14578641914.

It is an arithmetic number, because the mean of its divisors is an integer number (57199069746).

Almost surely, 2^{11969064674784} is an apocalyptic number.

11969064674784 is a gapful number since it is divisible by the number (14) 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 11969064674784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20591665108560).

11969064674784 is an abundant number, since it is smaller than the sum of its proper divisors (29214265542336).

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

11969064674784 is an equidigital number, since it uses as much as digits as its factorization.

11969064674784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 11969064674784 in words is "eleven trillion, nine hundred sixty-nine billion, sixty-four million, six hundred seventy-four thousand, seven hundred eighty-four".