1214086146624 has 252 divisors, whose sum is σ = 3830032481652. Its totient is φ = 367439155200.

The previous prime is 1214086146593. The next prime is 1214086146643. The reversal of 1214086146624 is 4266416804121.

1214086146624 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 0 + 8 + 6 + 14 + 6 + 624 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 486422553600 + 727663593024 = 697440^2 + 853032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1214086146624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5835754 + ... + 6040214.

Almost surely, 2^{1214086146624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214086146624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915016240826).

1214086146624 is an abundant number, since it is smaller than the sum of its proper divisors (2615946335028).

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

1214086146624 is a wasteful number, since it uses less digits than its factorization.

1214086146624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204566 (or 204540 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1214086146624 in words is "one trillion, two hundred fourteen billion, eighty-six million, one hundred forty-six thousand, six hundred twenty-four".