1456342946560 has 72 divisors (see below), whose sum is σ = 3488787786960. Its totient is φ = 582471831552.

The previous prime is 1456342946519. The next prime is 1456342946579. The reversal of 1456342946560 is 656492436541.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 12284046 + ... + 12402034.

It is an arithmetic number, because the mean of its divisors is an integer number (48455385930).

Almost surely, 2^{1456342946560} is an apocalyptic number.

1456342946560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456342946560 is an abundant number, since it is smaller than the sum of its proper divisors (2032444840400).

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

1456342946560 is an equidigital number, since it uses as much as digits as its factorization.

1456342946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127653 (or 127639 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 55.

The spelling of 1456342946560 in words is "one trillion, four hundred fifty-six billion, three hundred forty-two million, nine hundred forty-six thousand, five hundred sixty".