4346661711168 has 448 divisors, whose sum is σ = 15116129280000. Its totient is φ = 1198390007808.

The previous prime is 4346661711163. The next prime is 4346661711277. The reversal of 4346661711168 is 8611171666434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 not an unprimeable number, because it can be changed into a prime (4346661711163) 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, 1060417983 + ... + 1060422081.

It is an arithmetic number, because the mean of its divisors is an integer number (33741360000).

Almost surely, 2^{4346661711168} is an apocalyptic number.

4346661711168 is a gapful number since it is divisible by the number (48) 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 4346661711168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558064640000).

4346661711168 is an abundant number, since it is smaller than the sum of its proper divisors (10769467568832).

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

4346661711168 is a wasteful number, since it uses less digits than its factorization.

4346661711168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7179 (or 7163 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 4346661711168 in words is "four trillion, three hundred forty-six billion, six hundred sixty-one million, seven hundred eleven thousand, one hundred sixty-eight".