1632913632800 has 54 divisors (see below), whose sum is σ = 3986438642613. Its totient is φ = 653150995840.

The previous prime is 1632913632781. The next prime is 1632913632851. The reversal of 1632913632800 is 82363192361.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1600255360144 + 32658272656 = 1265012^2 + 180716^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=903580.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36120611 + ... + 36165789.

Almost surely, 2^{1632913632800} is an apocalyptic number.

1632913632800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1632913632800 is an abundant number, since it is smaller than the sum of its proper divisors (2353525009813).

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

1632913632800 is an frugal number, since it uses more digits than its factorization.

1632913632800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90378 (or 45186 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The spelling of 1632913632800 in words is "one trillion, six hundred thirty-two billion, nine hundred thirteen million, six hundred thirty-two thousand, eight hundred".