456538261545 has 48 divisors (see below), whose sum is σ = 859852531200. Its totient is φ = 223230919680.

The previous prime is 456538261541. The next prime is 456538261573. The reversal of 456538261545 is 545162835654.

456538261545 is a `hidden beast` number, since 4 + 5 + 6 + 5 + 38 + 2 + 61 + 545 = 666.

It is not a de Polignac number, because 456538261545 - 2² = 456538261541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456538261491 and 456538261500.

It is not an unprimeable number, because it can be changed into a prime (456538261541) by changing a digit.

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, 8585800 + ... + 8638809.

It is an arithmetic number, because the mean of its divisors is an integer number (17913594400).

Almost surely, 2^456538261545 is an apocalyptic number.

456538261545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456538261545 is a deficient number, since it is larger than the sum of its proper divisors (403314269655).

456538261545 is a wasteful number, since it uses less digits than its factorization.

456538261545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17224670 (or 17224667 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 54.

The spelling of 456538261545 in words is "four hundred fifty-six billion, five hundred thirty-eight million, two hundred sixty-one thousand, five hundred forty-five".