456041234541 has 16 divisors (see below), whose sum is σ = 677708337600. Its totient is φ = 271083333888.

The previous prime is 456041234521. The next prime is 456041234557. The reversal of 456041234541 is 145432140654.

It is not a de Polignac number, because 456041234541 - 2⁷ = 456041234413 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 456041234541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456041234501) 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 15 ways as a sum of consecutive naturals, for example, 235314426 + ... + 235316363.

It is an arithmetic number, because the mean of its divisors is an integer number (42356771100).

Almost surely, 2^456041234541 is an apocalyptic number.

It is an amenable number.

456041234541 is a deficient number, since it is larger than the sum of its proper divisors (221667103059).

456041234541 is a wasteful number, since it uses less digits than its factorization.

456041234541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470630828.

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 456041234541 in words is "four hundred fifty-six billion, forty-one million, two hundred thirty-four thousand, five hundred forty-one".