11701943817984 has 576 divisors, whose sum is σ = 42131984993280. Its totient is φ = 3127400202240.

The previous prime is 11701943817947. The next prime is 11701943817997. The reversal of 11701943817984 is 48971834910711.

11701943817984 is a `hidden beast` number, since 1 + 17 + 0 + 19 + 438 + 179 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134028424 + ... + 134115704.

It is an arithmetic number, because the mean of its divisors is an integer number (73145807280).

Almost surely, 2^{11701943817984} is an apocalyptic number.

11701943817984 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 11701943817984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21065992496640).

11701943817984 is an abundant number, since it is smaller than the sum of its proper divisors (30430041175296).

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

11701943817984 is a wasteful number, since it uses less digits than its factorization.

11701943817984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87493 (or 87473 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 11701943817984 in words is "eleven trillion, seven hundred one billion, nine hundred forty-three million, eight hundred seventeen thousand, nine hundred eighty-four".