3146415814080 has 2520 divisors, whose sum is σ = 14876131796064. Its totient is φ = 617829949440.

The previous prime is 3146415814063. The next prime is 3146415814081. The reversal of 3146415814080 is 804185146413.

3146415814080 is a `hidden beast` number, since 3 + 1 + 4 + 64 + 1 + 581 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3146415814081) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 7925480442 + ... + 7925480838.

Almost surely, 2^{3146415814080} is an apocalyptic number.

3146415814080 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 3146415814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438065898032).

3146415814080 is an abundant number, since it is smaller than the sum of its proper divisors (11729715981984).

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

3146415814080 is a wasteful number, since it uses less digits than its factorization.

3146415814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 3146415814080 in words is "three trillion, one hundred forty-six billion, four hundred fifteen million, eight hundred fourteen thousand, eighty".