3331314067464 has 288 divisors, whose sum is σ = 9542306217600. Its totient is φ = 1048867211520.

The previous prime is 3331314067457. The next prime is 3331314067481. The reversal of 3331314067464 is 4647604131333.

3331314067464 is a `hidden beast` number, since 3 + 33 + 13 + 140 + 6 + 7 + 464 = 666.

It is a super-2 number, since 2×3331314067464² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6369625107 + ... + 6369625629.

It is an arithmetic number, because the mean of its divisors is an integer number (33133007700).

Almost surely, 2^{3331314067464} 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 3331314067464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771153108800).

3331314067464 is an abundant number, since it is smaller than the sum of its proper divisors (6210992150136).

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

3331314067464 is a wasteful number, since it uses less digits than its factorization.

3331314067464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

Adding to 3331314067464 its reverse (4647604131333), we get a palindrome (7978918198797).

The spelling of 3331314067464 in words is "three trillion, three hundred thirty-one billion, three hundred fourteen million, sixty-seven thousand, four hundred sixty-four".