1282163816736 has 384 divisors, whose sum is σ = 4410414489600. Its totient is φ = 358135188480.

The previous prime is 1282163816701. The next prime is 1282163816753. The reversal of 1282163816736 is 6376183612821.

1282163816736 is a `hidden beast` number, since 12 + 8 + 216 + 381 + 6 + 7 + 36 = 666.

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 63 ways as a sum of consecutive naturals, for example, 6585361 + ... + 6777263.

It is an arithmetic number, because the mean of its divisors is an integer number (11485454400).

Almost surely, 2^{1282163816736} is an apocalyptic number.

1282163816736 is a gapful number since it is divisible by the number (16) 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 1282163816736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205207244800).

1282163816736 is an abundant number, since it is smaller than the sum of its proper divisors (3128250672864).

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

1282163816736 is a wasteful number, since it uses less digits than its factorization.

1282163816736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191989 (or 191975 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 1282163816736 in words is "one trillion, two hundred eighty-two billion, one hundred sixty-three million, eight hundred sixteen thousand, seven hundred thirty-six".