4292931447168 has 512 divisors, whose sum is σ = 14292246528000. Its totient is φ = 1111469727744.

The previous prime is 4292931447157. The next prime is 4292931447209. The reversal of 4292931447168 is 8617441392924.

4292931447168 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 63 ways as a sum of consecutive naturals, for example, 2966779821 + ... + 2966781267.

It is an arithmetic number, because the mean of its divisors is an integer number (27914544000).

Almost surely, 2^{4292931447168} is an apocalyptic number.

4292931447168 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 4292931447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146123264000).

4292931447168 is an abundant number, since it is smaller than the sum of its proper divisors (9999315080832).

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

4292931447168 is a wasteful number, since it uses less digits than its factorization.

4292931447168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2970 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The spelling of 4292931447168 in words is "four trillion, two hundred ninety-two billion, nine hundred thirty-one million, four hundred forty-seven thousand, one hundred sixty-eight".