2012145647616 has 324 divisors, whose sum is σ = 6295003960518. Its totient is φ = 619060396032.

The previous prime is 2012145647599. The next prime is 2012145647639. The reversal of 2012145647616 is 6167465412102.

2012145647616 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 4 + 564 + 76 + 16 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1019938406400 + 992207241216 = 1009920^2 + 996096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199355466 + ... + 199365558.

Almost surely, 2^{2012145647616} is an apocalyptic number.

2012145647616 is a gapful number since it is divisible by the number (26) 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 2012145647616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147501980259).

2012145647616 is an abundant number, since it is smaller than the sum of its proper divisors (4282858312902).

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

2012145647616 is an equidigital number, since it uses as much as digits as its factorization.

2012145647616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159 (or 10111 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2012145647616 in words is "two trillion, twelve billion, one hundred forty-five million, six hundred forty-seven thousand, six hundred sixteen".