1345142315016 has 48 divisors (see below), whose sum is σ = 3643667913600. Its totient is φ = 448310107872.

The previous prime is 1345142315009. The next prime is 1345142315047. The reversal of 1345142315016 is 6105132415431.

1345142315016 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 142 + 3 + 1 + 501 + 6 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 1011136 + ... + 1926831.

It is an arithmetic number, because the mean of its divisors is an integer number (75909748200).

Almost surely, 2^{1345142315016} is an apocalyptic number.

It is an amenable number.

1345142315016 is an abundant number, since it is smaller than the sum of its proper divisors (2298525598584).

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

1345142315016 is a wasteful number, since it uses less digits than its factorization.

1345142315016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944338 (or 2944331 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1345142315016 in words is "one trillion, three hundred forty-five billion, one hundred forty-two million, three hundred fifteen thousand, sixteen".