4671398946816 has 1920 divisors, whose sum is σ = 17837820000000. Its totient is φ = 1212643934208.

The previous prime is 4671398946811. The next prime is 4671398946829. The reversal of 4671398946816 is 6186498931764.

It is a happy number.

4671398946816 is a `hidden beast` number, since 4 + 6 + 71 + 3 + 9 + 89 + 468 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

Its product of digits (376233984) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (4671398946811) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31351670710 + ... + 31351670858.

It is an arithmetic number, because the mean of its divisors is an integer number (9290531250).

Almost surely, 2^{4671398946816} 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 4671398946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918910000000).

4671398946816 is an abundant number, since it is smaller than the sum of its proper divisors (13166421053184).

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

4671398946816 is a wasteful number, since it uses less digits than its factorization.

4671398946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 209 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 4671398946816 in words is "four trillion, six hundred seventy-one billion, three hundred ninety-eight million, nine hundred forty-six thousand, eight hundred sixteen".