630301112361216 has 1296 divisors, whose sum is σ = 2133423834167808. Its totient is φ = 184755968409600.

The previous prime is 630301112361149. The next prime is 630301112361307. The reversal of 630301112361216 is 612163211103036.

630301112361216 is a `hidden beast` number, since 6 + 3 + 0 + 3 + 0 + 1 + 1 + 1 + 23 + 612 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 27571009626 + ... + 27571032486.

Almost surely, 2^{630301112361216} 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 630301112361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066711917083904).

630301112361216 is an abundant number, since it is smaller than the sum of its proper divisors (1503122721806592).

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

630301112361216 is a wasteful number, since it uses less digits than its factorization.

630301112361216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22998 (or 22943 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 630301112361216 in words is "six hundred thirty trillion, three hundred one billion, one hundred twelve million, three hundred sixty-one thousand, two hundred sixteen".