1631728232352 has 120 divisors (see below), whose sum is σ = 4953669823872. Its totient is φ = 526363920000.

The previous prime is 1631728232287. The next prime is 1631728232371. The reversal of 1631728232352 is 2532328271361.

It is a happy number.

1631728232352 is a `hidden beast` number, since 1 + 6 + 3 + 17 + 282 + 3 + 2 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1631728232298 and 1631728232307.

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 19 ways as a sum of consecutive naturals, for example, 10073274 + ... + 10233977.

Almost surely, 2^{1631728232352} is an apocalyptic number.

1631728232352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1631728232352 is an abundant number, since it is smaller than the sum of its proper divisors (3321941591520).

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

1631728232352 is a wasteful number, since it uses less digits than its factorization.

1631728232352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20307304 (or 20307287 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 1631728232352 in words is "one trillion, six hundred thirty-one billion, seven hundred twenty-eight million, two hundred thirty-two thousand, three hundred fifty-two".