456775652153 has 16 divisors (see below), whose sum is σ = 500941098000. Its totient is φ = 414568691712.

The previous prime is 456775652129. The next prime is 456775652161. The reversal of 456775652153 is 351256577654.

It can be written as a sum of positive squares in 8 ways, for example, as 26759929 + 456748892224 = 5173^2 + 675832^2 .

It is not a de Polignac number, because 456775652153 - 2¹⁴ = 456775635769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456775652653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173798 + ... + 971471.

It is an arithmetic number, because the mean of its divisors is an integer number (31308818625).

Almost surely, 2^456775652153 is an apocalyptic number.

It is an amenable number.

456775652153 is a deficient number, since it is larger than the sum of its proper divisors (44165445847).

456775652153 is a wasteful number, since it uses less digits than its factorization.

456775652153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146124.

The product of its digits is 26460000, while the sum is 56.

The spelling of 456775652153 in words is "four hundred fifty-six billion, seven hundred seventy-five million, six hundred fifty-two thousand, one hundred fifty-three".