2446867132416 has 416 divisors, whose sum is σ = 8570433331200. Its totient is φ = 674991636480.

The previous prime is 2446867132397. The next prime is 2446867132433. The reversal of 2446867132416 is 6142317686442.

2446867132416 is a `hidden beast` number, since 2 + 4 + 468 + 6 + 7 + 132 + 41 + 6 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22395681 + ... + 22504671.

It is an arithmetic number, because the mean of its divisors is an integer number (20602003200).

Almost surely, 2^{2446867132416} 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 2446867132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285216665600).

2446867132416 is an abundant number, since it is smaller than the sum of its proper divisors (6123566198784).

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

2446867132416 is a wasteful number, since it uses less digits than its factorization.

2446867132416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109060 (or 109032 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 2446867132416 in words is "two trillion, four hundred forty-six billion, eight hundred sixty-seven million, one hundred thirty-two thousand, four hundred sixteen".