63115239140100 has 243 divisors, whose sum is σ = 230136267127221. Its totient is φ = 14425959038400.

The previous prime is 63115239140089. The next prime is 63115239140119. The reversal of 63115239140100 is 104193251136.

The square root of 63115239140100 is 7944510.

It is a perfect power (a square), and thus also a powerful number.

63115239140100 is a `hidden beast` number, since 6 + 3 + 1 + 1 + 523 + 91 + 40 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22721486090436 + 40393753049664 = 4766706^2 + 6355608^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1668328185 + ... + 1668366015.

Almost surely, 2^{63115239140100} is an apocalyptic number.

63115239140100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

63115239140100 is the 7944510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63115239140100

63115239140100 is an abundant number, since it is smaller than the sum of its proper divisors (167021027987121).

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

63115239140100 is an equidigital number, since it uses as much as digits as its factorization.

63115239140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75696 (or 37848 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

63115239140100 divided by its sum of digits (36) gives a square (1753201087225 = 1324085²).

The spelling of 63115239140100 in words is "sixty-three trillion, one hundred fifteen billion, two hundred thirty-nine million, one hundred forty thousand, one hundred".