11846684284416 has 400 divisors, whose sum is σ = 35655207920640. Its totient is φ = 3915957104640.

The previous prime is 11846684284229. The next prime is 11846684284483. The reversal of 11846684284416 is 61448248664811.

11846684284416 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 66 + 84 + 2 + 84 + 416 = 666.

It is a super-2 number, since 2×11846684284416² (a number of 27 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 3317467911 + ... + 3317471481.

Almost surely, 2^{11846684284416} is an apocalyptic number.

11846684284416 is a gapful number since it is divisible by the number (16) 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 11846684284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827603960320).

11846684284416 is an abundant number, since it is smaller than the sum of its proper divisors (23808523636224).

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

11846684284416 is an equidigital number, since it uses as much as digits as its factorization.

11846684284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4222 counting only the distinct ones).

The product of its digits is 56623104, while the sum is 63.

The spelling of 11846684284416 in words is "eleven trillion, eight hundred forty-six billion, six hundred eighty-four million, two hundred eighty-four thousand, four hundred sixteen".