63534137161104 has 320 divisors, whose sum is σ = 187687901491200. Its totient is φ = 20562530047488.

The previous prime is 63534137161073. The next prime is 63534137161127. The reversal of 63534137161104 is 40116173143536.

63534137161104 is a `hidden beast` number, since 6 + 3 + 5 + 3 + 413 + 71 + 61 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 63534137161104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28325517007 + ... + 28325519249.

It is an arithmetic number, because the mean of its divisors is an integer number (586524692160).

Almost surely, 2^{63534137161104} 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 63534137161104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93843950745600).

63534137161104 is an abundant number, since it is smaller than the sum of its proper divisors (124153764330096).

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

63534137161104 is a wasteful number, since it uses less digits than its factorization.

63534137161104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 63534137161104 in words is "sixty-three trillion, five hundred thirty-four billion, one hundred thirty-seven million, one hundred sixty-one thousand, one hundred four".