1456641561 has 8 divisors (see below), whose sum is σ = 1942367904. Its totient is φ = 971004800.

The previous prime is 1456641539. The next prime is 1456641581. The reversal of 1456641561 is 1651466541.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1456641561 - 2¹³ = 1456633369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1456641581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42010 + ... + 68396.

It is an arithmetic number, because the mean of its divisors is an integer number (242795988).

Almost surely, 2^1456641561 is an apocalyptic number.

It is an amenable number.

1456641561 is a deficient number, since it is larger than the sum of its proper divisors (485726343).

1456641561 is a wasteful number, since it uses less digits than its factorization.

1456641561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44791.

The product of its digits is 86400, while the sum is 39.

The square root of 1456641561 is about 38165.9738641634. The cubic root of 1456641561 is about 1133.5766696549.

The spelling of 1456641561 in words is "one billion, four hundred fifty-six million, six hundred forty-one thousand, five hundred sixty-one".