412113846816 has 384 divisors, whose sum is σ = 1495888128000. Its totient is φ = 107702203392.

The previous prime is 412113846811. The next prime is 412113846821. The reversal of 412113846816 is 618648311214.

412113846816 is a `hidden beast` number, since 41 + 2 + 1 + 138 + 468 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (412113846811) and next prime (412113846821).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (412113846811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3270615 + ... + 3394281.

It is an arithmetic number, because the mean of its divisors is an integer number (3895542000).

Almost surely, 2^412113846816 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 412113846816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747944064000).

412113846816 is an abundant number, since it is smaller than the sum of its proper divisors (1083774281184).

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

412113846816 is a wasteful number, since it uses less digits than its factorization.

412113846816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123741 (or 123727 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 412113846816 in words is "four hundred twelve billion, one hundred thirteen million, eight hundred forty-six thousand, eight hundred sixteen".