352283362738560 has 2560 divisors, whose sum is σ = 1427440096051200. Its totient is φ = 82069869772800.

The previous prime is 352283362738547. The next prime is 352283362738577. The reversal of 352283362738560 is 65837263382253.

352283362738560 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 8 + 3 + 3 + 62 + 7 + 3 + 8 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 265473520617 + ... + 265473521943.

It is an arithmetic number, because the mean of its divisors is an integer number (557593787520).

Almost surely, 2^{352283362738560} is an apocalyptic number.

352283362738560 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 352283362738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713720048025600).

352283362738560 is an abundant number, since it is smaller than the sum of its proper divisors (1075156733312640).

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

352283362738560 is a wasteful number, since it uses less digits than its factorization.

352283362738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 352283362738560 in words is "three hundred fifty-two trillion, two hundred eighty-three billion, three hundred sixty-two million, seven hundred thirty-eight thousand, five hundred sixty".