3135046352460 has 192 divisors, whose sum is σ = 9603058913280. Its totient is φ = 757878123520.

The previous prime is 3135046352453. The next prime is 3135046352497. The reversal of 3135046352460 is 642536405313.

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, 371931526 + ... + 371939954.

It is an arithmetic number, because the mean of its divisors is an integer number (50015931840).

Almost surely, 2^{3135046352460} is an apocalyptic number.

3135046352460 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 3135046352460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801529456640).

3135046352460 is an abundant number, since it is smaller than the sum of its proper divisors (6468012560820).

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

3135046352460 is a wasteful number, since it uses less digits than its factorization.

3135046352460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9968 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 3135046352460 in words is "three trillion, one hundred thirty-five billion, forty-six million, three hundred fifty-two thousand, four hundred sixty".