1345306545000 has 240 divisors, whose sum is σ = 4966873591680. Its totient is φ = 326134800000.

The previous prime is 1345306544993. The next prime is 1345306545043. The reversal of 1345306545000 is 5456035431.

1345306545000 is a `hidden beast` number, since 1 + 345 + 306 + 5 + 4 + 5 + 0 + 0 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 863896 + ... + 1853895.

It is an arithmetic number, because the mean of its divisors is an integer number (20695306632).

Almost surely, 2^{1345306545000} is an apocalyptic number.

1345306545000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345306545000 is an abundant number, since it is smaller than the sum of its proper divisors (3621567046680).

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

1345306545000 is a wasteful number, since it uses less digits than its factorization.

1345306545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717834 (or 2717812 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1345306545000 in words is "one trillion, three hundred forty-five billion, three hundred six million, five hundred forty-five thousand".