353422282752 has 1040 divisors, whose sum is σ = 1343541552960. Its totient is φ = 91797995520.

The previous prime is 353422282691. The next prime is 353422282781. The reversal of 353422282752 is 257282224353.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

353422282752 is a `hidden beast` number, since 3 + 534 + 22 + 28 + 2 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 353422282698 and 353422282707.

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 79 ways as a sum of consecutive naturals, for example, 32129298427 + ... + 32129298437.

Almost surely, 2^353422282752 is an apocalyptic number.

353422282752 is a gapful number since it is divisible by the number (32) 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 353422282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671770776480).

353422282752 is an abundant number, since it is smaller than the sum of its proper divisors (990119270208).

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

353422282752 is an frugal number, since it uses more digits than its factorization.

353422282752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 23 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 353422282752 in words is "three hundred fifty-three billion, four hundred twenty-two million, two hundred eighty-two thousand, seven hundred fifty-two".