3167398831464 has 256 divisors, whose sum is σ = 10628766720000. Its totient is φ = 853751985408.

The previous prime is 3167398831393. The next prime is 3167398831477. The reversal of 3167398831464 is 4641388937613.

It is a happy number.

3167398831464 is a `hidden beast` number, since 3 + 1 + 6 + 7 + 3 + 98 + 83 + 1 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6635334 + ... + 7096650.

It is an arithmetic number, because the mean of its divisors is an integer number (41518620000).

Almost surely, 2^{3167398831464} 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 3167398831464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314383360000).

3167398831464 is an abundant number, since it is smaller than the sum of its proper divisors (7461367888536).

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

3167398831464 is a wasteful number, since it uses less digits than its factorization.

3167398831464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461597 (or 461587 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 3167398831464 in words is "three trillion, one hundred sixty-seven billion, three hundred ninety-eight million, eight hundred thirty-one thousand, four hundred sixty-four".