456697011105 has 160 divisors (see below), whose sum is σ = 915171903360. Its totient is φ = 216531118080.

The previous prime is 456697011103. The next prime is 456697011109. The reversal of 456697011105 is 501110796654.

456697011105 is a `hidden beast` number, since 4 + 566 + 9 + 70 + 1 + 1 + 10 + 5 = 666.

It is not a de Polignac number, because 456697011105 - 2¹ = 456697011103 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (456697011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45387775 + ... + 45397835.

It is an arithmetic number, because the mean of its divisors is an integer number (5719824396).

Almost surely, 2^456697011105 is an apocalyptic number.

456697011105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456697011105 is an abundant number, since it is smaller than the sum of its proper divisors (458474892255).

456697011105 is a wasteful number, since it uses less digits than its factorization.

456697011105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10452 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 456697011105 in words is "four hundred fifty-six billion, six hundred ninety-seven million, eleven thousand, one hundred five".