3135463616000 has 80 divisors (see below), whose sum is σ = 7818474652560. Its totient is φ = 1254185420800.

The previous prime is 3135463615987. The next prime is 3135463616009. The reversal of 3135463616000 is 6163645313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3135463616000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135463616009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24431810 + ... + 24559809.

It is an arithmetic number, because the mean of its divisors is an integer number (97730933157).

Almost surely, 2^{3135463616000} is an apocalyptic number.

It is an amenable number.

3135463616000 is an abundant number, since it is smaller than the sum of its proper divisors (4683011036560).

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

3135463616000 is an frugal number, since it uses more digits than its factorization.

3135463616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48991652 (or 48991626 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The spelling of 3135463616000 in words is "three trillion, one hundred thirty-five billion, four hundred sixty-three million, six hundred sixteen thousand".