1456917345 has 48 divisors (see below), whose sum is σ = 2760244032. Its totient is φ = 706527360.

The previous prime is 1456917331. The next prime is 1456917361. The reversal of 1456917345 is 5437196541.

1456917345 is a `hidden beast` number, since 1 + 456 + 91 + 73 + 45 = 666.

It is not a de Polignac number, because 1456917345 - 2⁹ = 1456916833 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1456917345.

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 47 ways as a sum of consecutive naturals, for example, 20610 + ... + 57780.

It is an arithmetic number, because the mean of its divisors is an integer number (57505084).

Almost surely, 2^1456917345 is an apocalyptic number.

1456917345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1456917345 is a deficient number, since it is larger than the sum of its proper divisors (1303326687).

1456917345 is a wasteful number, since it uses less digits than its factorization.

1456917345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37262 (or 37259 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1456917345 is about 38169.5866495827. The cubic root of 1456917345 is about 1133.6482046592.

The spelling of 1456917345 in words is "one billion, four hundred fifty-six million, nine hundred seventeen thousand, three hundred forty-five".