1005312162816 has 352 divisors, whose sum is σ = 3375041196800. Its totient is φ = 293044469760.

The previous prime is 1005312162773. The next prime is 1005312162863. The reversal of 1005312162816 is 6182612135001.

1005312162816 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 1 + 21 + 628 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6755451 + ... + 6902661.

Almost surely, 2^{1005312162816} is an apocalyptic number.

1005312162816 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 1005312162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687520598400).

1005312162816 is an abundant number, since it is smaller than the sum of its proper divisors (2369729033984).

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

1005312162816 is a wasteful number, since it uses less digits than its factorization.

1005312162816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147272 (or 147248 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 1005312162816 its reverse (6182612135001), we get a palindrome (7187924297817).

The spelling of 1005312162816 in words is "one trillion, five billion, three hundred twelve million, one hundred sixty-two thousand, eight hundred sixteen".