352450660786560 has 3072 divisors, whose sum is σ = 1578856972492800. Its totient is φ = 73335528161280.

The previous prime is 352450660786459. The next prime is 352450660786607. The reversal of 352450660786560 is 65687066054253.

352450660786560 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 5 + 0 + 6 + 60 + 7 + 8 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 56819384419 + ... + 56819390621.

It is an arithmetic number, because the mean of its divisors is an integer number (513950837400).

Almost surely, 2^{352450660786560} is an apocalyptic number.

352450660786560 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 352450660786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789428486246400).

352450660786560 is an abundant number, since it is smaller than the sum of its proper divisors (1226406311706240).

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

352450660786560 is a wasteful number, since it uses less digits than its factorization.

352450660786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 352450660786560 in words is "three hundred fifty-two trillion, four hundred fifty billion, six hundred sixty million, seven hundred eighty-six thousand, five hundred sixty".