3145999466016 has 288 divisors, whose sum is σ = 10276622254080. Its totient is φ = 902876198400.

The previous prime is 3145999466009. The next prime is 3145999466069. The reversal of 3145999466016 is 6106649995413.

3145999466016 is a `hidden beast` number, since 3 + 14 + 5 + 9 + 9 + 9 + 4 + 6 + 601 + 6 = 666.

3145999466016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264297121 + ... + 264309023.

It is an arithmetic number, because the mean of its divisors is an integer number (35682716160).

Almost surely, 2^{3145999466016} is an apocalyptic number.

3145999466016 is a gapful number since it is divisible by the number (36) 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 3145999466016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138311127040).

3145999466016 is an abundant number, since it is smaller than the sum of its proper divisors (7130622788064).

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

3145999466016 is a wasteful number, since it uses less digits than its factorization.

3145999466016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16340 (or 16329 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 3145999466016 in words is "three trillion, one hundred forty-five billion, nine hundred ninety-nine million, four hundred sixty-six thousand, sixteen".