3142857148416 has 432 divisors, whose sum is σ = 9569214411120. Its totient is φ = 1031687331840.

The previous prime is 3142857148391. The next prime is 3142857148433. The reversal of 3142857148416 is 6148417582413.

It is a happy number.

3142857148416 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 85 + 7 + 148 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 900272431 + ... + 900275921.

It is an arithmetic number, because the mean of its divisors is an integer number (22150959285).

Almost surely, 2^{3142857148416} is an apocalyptic number.

3142857148416 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 3142857148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784607205560).

3142857148416 is an abundant number, since it is smaller than the sum of its proper divisors (6426357262704).

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

3142857148416 is an frugal number, since it uses more digits than its factorization.

3142857148416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3563 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 3142857148416 in words is "three trillion, one hundred forty-two billion, eight hundred fifty-seven million, one hundred forty-eight thousand, four hundred sixteen".