63121670793216 has 576 divisors, whose sum is σ = 221337965197440. Its totient is φ = 17594851000320.

The previous prime is 63121670793211. The next prime is 63121670793241. The reversal of 63121670793216 is 61239707612136.

63121670793216 is a `hidden beast` number, since 6 + 31 + 216 + 7 + 0 + 79 + 321 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (63121670793211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142608600 + ... + 143050536.

It is an arithmetic number, because the mean of its divisors is an integer number (384267300690).

Almost surely, 2^{63121670793216} 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 63121670793216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110668982598720).

63121670793216 is an abundant number, since it is smaller than the sum of its proper divisors (158216294404224).

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

63121670793216 is an equidigital number, since it uses as much as digits as its factorization.

63121670793216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442022 (or 441990 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 63121670793216 in words is "sixty-three trillion, one hundred twenty-one billion, six hundred seventy million, seven hundred ninety-three thousand, two hundred sixteen".