463212753302112 has 384 divisors, whose sum is σ = 1397991019622400. Its totient is φ = 132817592678400.

The previous prime is 463212753302099. The next prime is 463212753302171. The reversal of 463212753302112 is 211203357212364.

It is a super-3 number, since 3×463212753302112³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

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, 70386374662 + ... + 70386381242.

It is an arithmetic number, because the mean of its divisors is an integer number (3640601613600).

Almost surely, 2^{463212753302112} 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 463212753302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698995509811200).

463212753302112 is an abundant number, since it is smaller than the sum of its proper divisors (934778266320288).

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

463212753302112 is a wasteful number, since it uses less digits than its factorization.

463212753302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10370 (or 10362 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 463212753302112 in words is "four hundred sixty-three trillion, two hundred twelve billion, seven hundred fifty-three million, three hundred two thousand, one hundred twelve".