1632648213504 has 2112 divisors, whose sum is σ = 6523569561600. Its totient is φ = 403824476160.

The previous prime is 1632648213503. The next prime is 1632648213509. The reversal of 1632648213504 is 4053128462361.

1632648213504 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 64 + 82 + 1 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a self number, because there is not a number n which added to its sum of digits gives 1632648213504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1632648213503) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34737196009 + ... + 34737196055.

Almost surely, 2^{1632648213504} is an apocalyptic number.

1632648213504 is a gapful number since it is divisible by the number (14) 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 1632648213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261784780800).

1632648213504 is an abundant number, since it is smaller than the sum of its proper divisors (4890921348096).

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

1632648213504 is an equidigital number, since it uses as much as digits as its factorization.

1632648213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1632648213504 in words is "one trillion, six hundred thirty-two billion, six hundred forty-eight million, two hundred thirteen thousand, five hundred four".