3135334164480 has 864 divisors, whose sum is σ = 13384522143720. Its totient is φ = 674475540480.

The previous prime is 3135334164461. The next prime is 3135334164499. The reversal of 3135334164480 is 844614335313.

3135334164480 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 3 + 3 + 4 + 164 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (3135334164461) and next prime (3135334164499).

It can be written as a sum of positive squares in 4 ways, for example, as 3121186489344 + 14147675136 = 1766688^2 + 118944^2 .

It is a super-3 number, since 3×3135334164480³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 76748860 + ... + 76789700.

Almost surely, 2^{3135334164480} is an apocalyptic number.

3135334164480 is a gapful number since it is divisible by the number (30) 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 3135334164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692261071860).

3135334164480 is an abundant number, since it is smaller than the sum of its proper divisors (10249187979240).

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

3135334164480 is a wasteful number, since it uses less digits than its factorization.

3135334164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40905 (or 40875 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 3135334164480 its reverse (844614335313), we get a palindrome (3979948499793).

The spelling of 3135334164480 in words is "three trillion, one hundred thirty-five billion, three hundred thirty-four million, one hundred sixty-four thousand, four hundred eighty".