456766445642 has 32 divisors (see below), whose sum is σ = 738988261200. Its totient is φ = 210491297280.

The previous prime is 456766445623. The next prime is 456766445711. The reversal of 456766445642 is 246544667654.

It can be written as a sum of positive squares in 8 ways, for example, as 9420837721 + 447345607921 = 97061^2 + 668839^2 .

It is a super-2 number, since 2×456766445642² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84380528 + ... + 84385940.

Almost surely, 2^456766445642 is an apocalyptic number.

456766445642 is a deficient number, since it is larger than the sum of its proper divisors (282221815558).

456766445642 is a wasteful number, since it uses less digits than its factorization.

456766445642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818.

The product of its digits is 116121600, while the sum is 59.

The spelling of 456766445642 in words is "four hundred fifty-six billion, seven hundred sixty-six million, four hundred forty-five thousand, six hundred forty-two".