3142266716160 has 816 divisors, whose sum is σ = 12799215269568. Its totient is φ = 703070208000.

The previous prime is 3142266716107. The next prime is 3142266716263. The reversal of 3142266716160 is 616176622413.

3142266716160 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 26 + 6 + 7 + 1 + 616 + 0 = 666.

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

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, 421720435 + ... + 421727885.

Almost surely, 2^{3142266716160} is an apocalyptic number.

3142266716160 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 3142266716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399607634784).

3142266716160 is an abundant number, since it is smaller than the sum of its proper divisors (9656948553408).

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

3142266716160 is a wasteful number, since it uses less digits than its factorization.

3142266716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7518 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3142266716160 in words is "three trillion, one hundred forty-two billion, two hundred sixty-six million, seven hundred sixteen thousand, one hundred sixty".