352045561230 has 256 divisors, whose sum is σ = 1047348817920. Its totient is φ = 83414707200.

The previous prime is 352045561201. The next prime is 352045561267. The reversal of 352045561230 is 32165540253.

352045561230 is a `hidden beast` number, since 3 + 5 + 2 + 0 + 4 + 5 + 5 + 612 + 30 = 666.

It is a super-2 number, since 2×352045561230² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148103802 + ... + 148106178.

It is an arithmetic number, because the mean of its divisors is an integer number (4091206320).

Almost surely, 2^352045561230 is an apocalyptic number.

352045561230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352045561230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523674408960).

352045561230 is an abundant number, since it is smaller than the sum of its proper divisors (695303256690).

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

352045561230 is a wasteful number, since it uses less digits than its factorization.

352045561230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 352045561230 in words is "three hundred fifty-two billion, forty-five million, five hundred sixty-one thousand, two hundred thirty".