456600051061 has 72 divisors (see below), whose sum is σ = 620763271128. Its totient is φ = 333456076800.

The previous prime is 456600051043. The next prime is 456600051139. The reversal of 456600051061 is 160150006654.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 258658702225 + 197941348836 = 508585^2 + 444906^2 .

It is not a de Polignac number, because 456600051061 - 2⁵ = 456600051029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456600051031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24281715 + ... + 24300511.

It is an arithmetic number, because the mean of its divisors is an integer number (8621712099).

Almost surely, 2^456600051061 is an apocalyptic number.

It is an amenable number.

456600051061 is a deficient number, since it is larger than the sum of its proper divisors (164163220067).

456600051061 is a wasteful number, since it uses less digits than its factorization.

456600051061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19091 (or 19073 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 456600051061 in words is "four hundred fifty-six billion, six hundred million, fifty-one thousand, sixty-one".