352053706752 has 480 divisors, whose sum is σ = 1155076070400. Its totient is φ = 105077145600.

The previous prime is 352053706751. The next prime is 352053706793. The reversal of 352053706752 is 257607350253.

352053706752 is a `hidden beast` number, since 3 + 5 + 2 + 0 + 537 + 0 + 67 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 352053706698 and 352053706707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352053706751) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 345488899 + ... + 345489917.

It is an arithmetic number, because the mean of its divisors is an integer number (2406408480).

Almost surely, 2^352053706752 is an apocalyptic number.

352053706752 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 352053706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577538035200).

352053706752 is an abundant number, since it is smaller than the sum of its proper divisors (803022363648).

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

352053706752 is a wasteful number, since it uses less digits than its factorization.

352053706752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 352053706752 in words is "three hundred fifty-two billion, fifty-three million, seven hundred six thousand, seven hundred fifty-two".