1345085524800 has 168 divisors, whose sum is σ = 4903335075200. Its totient is φ = 358689461760.

The previous prime is 1345085524799. The next prime is 1345085524823. The reversal of 1345085524800 is 84255805431.

1345085524800 is a `hidden beast` number, since 1 + 3 + 4 + 50 + 8 + 552 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15524920 + ... + 15611319.

Almost surely, 2^{1345085524800} is an apocalyptic number.

1345085524800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345085524800 is an abundant number, since it is smaller than the sum of its proper divisors (3558249550400).

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

1345085524800 is a wasteful number, since it uses less digits than its factorization.

1345085524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31136270 (or 31136249 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 1345085524800 in words is "one trillion, three hundred forty-five billion, eighty-five million, five hundred twenty-four thousand, eight hundred".