17964142820352 has 1056 divisors, whose sum is σ = 56575990831360. Its totient is φ = 5688657838080.

The previous prime is 17964142820347. The next prime is 17964142820357. The reversal of 17964142820352 is 25302824146971.

It is a happy number.

17964142820352 is a `hidden beast` number, since 1 + 7 + 9 + 6 + 4 + 1 + 4 + 282 + 0 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (17964142820347) and next prime (17964142820357).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17964142820357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85138117527 + ... + 85138117737.

It is a 1-persistent number, because it is pandigital, but 2⋅17964142820352 = 35928285640704 is not.

Almost surely, 2^{17964142820352} is an apocalyptic number.

17964142820352 is a gapful number since it is divisible by the number (12) 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 17964142820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28287995415680).

17964142820352 is an abundant number, since it is smaller than the sum of its proper divisors (38611848011008).

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

17964142820352 is a wasteful number, since it uses less digits than its factorization.

17964142820352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 17964142820352 in words is "seventeen trillion, nine hundred sixty-four billion, one hundred forty-two million, eight hundred twenty thousand, three hundred fifty-two".