352218101760 has 768 divisors, whose sum is σ = 1443159244800. Its totient is φ = 79817342976.

The previous prime is 352218101749. The next prime is 352218101761. The reversal of 352218101760 is 67101812253.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352218101761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245790004 + ... + 245791436.

It is an arithmetic number, because the mean of its divisors is an integer number (1879113600).

Almost surely, 2^352218101760 is an apocalyptic number.

352218101760 is a gapful number since it is divisible by the number (30) 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 352218101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721579622400).

352218101760 is an abundant number, since it is smaller than the sum of its proper divisors (1090941143040).

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

352218101760 is a wasteful number, since it uses less digits than its factorization.

352218101760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 352218101760 in words is "three hundred fifty-two billion, two hundred eighteen million, one hundred one thousand, seven hundred sixty".