63117964518336 has 4032 divisors, whose sum is σ = 259885942162560. Its totient is φ = 15054626635776.

The previous prime is 63117964518331. The next prime is 63117964518397. The reversal of 63117964518336 is 63381546971136.

63117964518336 is a `hidden beast` number, since 6 + 3 + 1 + 1 + 79 + 6 + 451 + 83 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63117964518331) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1190904990886 + ... + 1190904990938.

It is an arithmetic number, because the mean of its divisors is an integer number (64455838830).

Almost surely, 2^{63117964518336} 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 63117964518336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129942971081280).

63117964518336 is an abundant number, since it is smaller than the sum of its proper divisors (196767977644224).

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

63117964518336 is a wasteful number, since it uses less digits than its factorization.

63117964518336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 134 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 63117964518336 in words is "sixty-three trillion, one hundred seventeen billion, nine hundred sixty-four million, five hundred eighteen thousand, three hundred thirty-six".