352360072512 has 840 divisors, whose sum is σ = 1298322178560. Its totient is φ = 94006241280.

The previous prime is 352360072459. The next prime is 352360072531. The reversal of 352360072512 is 215270063253.

352360072512 is a `hidden beast` number, since 3 + 5 + 23 + 600 + 7 + 25 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 228359613 + ... + 228361155.

Almost surely, 2^352360072512 is an apocalyptic number.

352360072512 is a gapful number since it is divisible by the number (32) 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 352360072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649161089280).

352360072512 is an abundant number, since it is smaller than the sum of its proper divisors (945962106048).

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

352360072512 is a wasteful number, since it uses less digits than its factorization.

352360072512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 352360072512 in words is "three hundred fifty-two billion, three hundred sixty million, seventy-two thousand, five hundred twelve".