1456451046345 has 64 divisors (see below), whose sum is σ = 2442451968000. Its totient is φ = 740502418176.

The previous prime is 1456451046311. The next prime is 1456451046361. The reversal of 1456451046345 is 5436401546541.

It is not a de Polignac number, because 1456451046345 - 2¹⁰ = 1456451045321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1456451046294 and 1456451046303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4373236 + ... + 4694474.

It is an arithmetic number, because the mean of its divisors is an integer number (38163312000).

Almost surely, 2^{1456451046345} is an apocalyptic number.

1456451046345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1456451046345 is a deficient number, since it is larger than the sum of its proper divisors (986000921655).

1456451046345 is a wasteful number, since it uses less digits than its factorization.

1456451046345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321462.

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 1456451046345 in words is "one trillion, four hundred fifty-six billion, four hundred fifty-one million, forty-six thousand, three hundred forty-five".