4346641460084 has 96 divisors (see below), whose sum is σ = 9913251059712. Its totient is φ = 1617027984000.

The previous prime is 4346641460041. The next prime is 4346641460087. The reversal of 4346641460084 is 4800641466434.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4346641460087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3507674 + ... + 4582254.

It is an arithmetic number, because the mean of its divisors is an integer number (103263031872).

Almost surely, 2^{4346641460084} is an apocalyptic number.

4346641460084 is a gapful number since it is divisible by the number (44) 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 4346641460084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956625529856).

4346641460084 is an abundant number, since it is smaller than the sum of its proper divisors (5566609599628).

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

4346641460084 is a wasteful number, since it uses less digits than its factorization.

4346641460084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075197 (or 1075195 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 50.

The spelling of 4346641460084 in words is "four trillion, three hundred forty-six billion, six hundred forty-one million, four hundred sixty thousand, eighty-four".