4317114184672 has 192 divisors, whose sum is σ = 9396017547840. Its totient is φ = 1943370956800.

The previous prime is 4317114184667. The next prime is 4317114184729. The reversal of 4317114184672 is 2764814117134.

It is a happy number.

4317114184672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1647123522 + ... + 1647126142.

It is an arithmetic number, because the mean of its divisors is an integer number (48937591395).

Almost surely, 2^{4317114184672} 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 4317114184672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698008773920).

4317114184672 is an abundant number, since it is smaller than the sum of its proper divisors (5078903363168).

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

4317114184672 is a wasteful number, since it uses less digits than its factorization.

4317114184672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3597 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

The spelling of 4317114184672 in words is "four trillion, three hundred seventeen billion, one hundred fourteen million, one hundred eighty-four thousand, six hundred seventy-two".