63461315204100 has 432 divisors, whose sum is σ = 217571567653440. Its totient is φ = 15344035200000.

The previous prime is 63461315204059. The next prime is 63461315204137. The reversal of 63461315204100 is 140251316436.

63461315204100 is a `hidden beast` number, since 6 + 3 + 4 + 61 + 31 + 520 + 41 + 0 + 0 = 666.

63461315204100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 143 ways as a sum of consecutive naturals, for example, 7354418586 + ... + 7354427214.

Almost surely, 2^{63461315204100} is an apocalyptic number.

63461315204100 is a gapful number since it is divisible by the number (60) 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 63461315204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108785783826720).

63461315204100 is an abundant number, since it is smaller than the sum of its proper divisors (154110252449340).

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

63461315204100 is a wasteful number, since it uses less digits than its factorization.

63461315204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10532 (or 10522 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 63461315204100 in words is "sixty-three trillion, four hundred sixty-one billion, three hundred fifteen million, two hundred four thousand, one hundred".