352196460960 has 768 divisors, whose sum is σ = 1288671068160. Its totient is φ = 80263249920.

The previous prime is 352196460949. The next prime is 352196460983. The reversal of 352196460960 is 69064691253.

It is a super-2 number, since 2×352196460960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 610392192 + ... + 610392768.

It is an arithmetic number, because the mean of its divisors is an integer number (1677957120).

Almost surely, 2^352196460960 is an apocalyptic number.

352196460960 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 352196460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644335534080).

352196460960 is an abundant number, since it is smaller than the sum of its proper divisors (936474607200).

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

352196460960 is a wasteful number, since it uses less digits than its factorization.

352196460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 352196460960 in words is "three hundred fifty-two billion, one hundred ninety-six million, four hundred sixty thousand, nine hundred sixty".