352766278656 has 1056 divisors, whose sum is σ = 1264483975680. Its totient is φ = 95993856000.

The previous prime is 352766278651. The next prime is 352766278679. The reversal of 352766278656 is 656872667253.

352766278656 is a `hidden beast` number, since 3 + 527 + 6 + 6 + 27 + 86 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

Its product of digits (152409600) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 352766278593 and 352766278602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352766278651) 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 95 ways as a sum of consecutive naturals, for example, 4968539101 + ... + 4968539171.

Almost surely, 2^352766278656 is an apocalyptic number.

352766278656 is a gapful number since it is divisible by the number (36) 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 352766278656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632241987840).

352766278656 is an abundant number, since it is smaller than the sum of its proper divisors (911717697024).

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

352766278656 is a wasteful number, since it uses less digits than its factorization.

352766278656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 135 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 352766278656 in words is "three hundred fifty-two billion, seven hundred sixty-six million, two hundred seventy-eight thousand, six hundred fifty-six".