1146557253213 has 12 divisors (see below), whose sum is σ = 1687386146940. Its totient is φ = 749949398016.

The previous prime is 1146557253199. The next prime is 1146557253217. The reversal of 1146557253213 is 3123527556411.

1146557253213 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 5 + 572 + 53 + 21 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 343932985764 + 802624267449 = 586458^2 + 895893^2 .

It is not a de Polignac number, because 1146557253213 - 2¹⁷ = 1146557122141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146557253217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1201841508 + ... + 1201842461.

It is an arithmetic number, because the mean of its divisors is an integer number (140615512245).

Almost surely, 2^{1146557253213} is an apocalyptic number.

It is an amenable number.

1146557253213 is a deficient number, since it is larger than the sum of its proper divisors (540828893727).

1146557253213 is a wasteful number, since it uses less digits than its factorization.

1146557253213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403684028 (or 2403684025 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 1146557253213 in words is "one trillion, one hundred forty-six billion, five hundred fifty-seven million, two hundred fifty-three thousand, two hundred thirteen".