456741140479009 has 9 divisors (see below), whose sum is σ = 457546444565427. Its totient is φ = 455937251393664.

The previous prime is 456741140478979. The next prime is 456741140479067. The reversal of 456741140479009 is 900974041147654.

The square root of 456741140479009 is 21371503.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 453580311630625 + 3160828848384 = 21297425^2 + 1777872^2 .

It is not a de Polignac number, because 456741140479009 - 2¹⁹ = 456741139954721 is a prime.

It is a super-2 number, since 2×456741140479009² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456741140479069) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12331338712 + ... + 12331375750.

It is an arithmetic number, because the mean of its divisors is an integer number (50838493840603).

Almost surely, 2^{456741140479009} is an apocalyptic number.

456741140479009 is the 21371503-rd square number.

456741140479009 is the 10685752-nd centered octagonal number.

It is an amenable number.

456741140479009 is a deficient number, since it is larger than the sum of its proper divisors (805304086418).

456741140479009 is an frugal number, since it uses more digits than its factorization.

456741140479009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75232 (or 37616 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 456741140479009 in words is "four hundred fifty-six trillion, seven hundred forty-one billion, one hundred forty million, four hundred seventy-nine thousand, nine".