352593689616 has 135 divisors (see below), whose sum is σ = 1148040755901. Its totient is φ = 100726803072.

The previous prime is 352593689593. The next prime is 352593689633. The reversal of 352593689616 is 616986395253.

The square root of 352593689616 is 593796.

It is a perfect power (a square), and thus also a powerful number.

352593689616 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 9 + 3 + 6 + 8 + 9 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123344249616 + 229249440000 = 351204^2 + 478800^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49875330 + ... + 49882398.

Almost surely, 2^352593689616 is an apocalyptic number.

352593689616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

352593689616 is the 593796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352593689616

352593689616 is an abundant number, since it is smaller than the sum of its proper divisors (795447066285).

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

352593689616 is an frugal number, since it uses more digits than its factorization.

352593689616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14166 (or 7081 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 352593689616 in words is "three hundred fifty-two billion, five hundred ninety-three million, six hundred eighty-nine thousand, six hundred sixteen".