16463227006512 has 480 divisors, whose sum is σ = 56617382255616. Its totient is φ = 4394360678400.

The previous prime is 16463227006511. The next prime is 16463227006519. The reversal of 16463227006512 is 21560072236461.

16463227006512 is a `hidden beast` number, since 1 + 6 + 4 + 63 + 2 + 2 + 70 + 0 + 6 + 512 = 666.

It is a super-2 number, since 2×16463227006512² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16463227006511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199351053 + ... + 199433619.

Almost surely, 2^{16463227006512} is an apocalyptic number.

16463227006512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16463227006512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28308691127808).

16463227006512 is an abundant number, since it is smaller than the sum of its proper divisors (40154155249104).

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

16463227006512 is a wasteful number, since it uses less digits than its factorization.

16463227006512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83049 (or 83040 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 16463227006512 in words is "sixteen trillion, four hundred sixty-three billion, two hundred twenty-seven million, six thousand, five hundred twelve".