1345836758112 has 288 divisors, whose sum is σ = 4981345568640. Its totient is φ = 349567868160.

The previous prime is 1345836758107. The next prime is 1345836758171. The reversal of 1345836758112 is 2118576385431.

1345836758112 is a `hidden beast` number, since 1 + 3 + 4 + 58 + 3 + 6 + 7 + 581 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1345836758112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 979278 + ... + 1910669.

It is an arithmetic number, because the mean of its divisors is an integer number (17296338780).

Almost surely, 2^{1345836758112} is an apocalyptic number.

1345836758112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1345836758112 is an abundant number, since it is smaller than the sum of its proper divisors (3635508810528).

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

1345836758112 is a wasteful number, since it uses less digits than its factorization.

1345836758112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889991 (or 2889970 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 1345836758112 in words is "one trillion, three hundred forty-five billion, eight hundred thirty-six million, seven hundred fifty-eight thousand, one hundred twelve".