63641155400000 has 168 divisors, whose sum is σ = 163292905382040. Its totient is φ = 24578650880000.

The previous prime is 63641155399957. The next prime is 63641155400047. The reversal of 63641155400000 is 455114636.

63641155400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 63305701294144 + 335454105856 = 7956488^2 + 579184^2 .

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 23 ways as a sum of consecutive naturals, for example, 313694 + ... + 11286306.

It is an arithmetic number, because the mean of its divisors is an integer number (971981579655).

Almost surely, 2^{63641155400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63641155400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81646452691020).

63641155400000 is an abundant number, since it is smaller than the sum of its proper divisors (99651749982040).

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

63641155400000 is an equidigital number, since it uses as much as digits as its factorization.

63641155400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972679 (or 10972649 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 63641155400000 in words is "sixty-three trillion, six hundred forty-one billion, one hundred fifty-five million, four hundred thousand".