456670144061557 has 2 divisors, whose sum is σ = 456670144061558. Its totient is φ = 456670144061556.

The previous prime is 456670144061531. The next prime is 456670144061563. The reversal of 456670144061557 is 755160441076654.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326359905608356 + 130310238453201 = 18065434^2 + 11415351^2 .

It is a cyclic number.

It is not a de Polignac number, because 456670144061557 - 2³¹ = 456667996577909 is a prime.

It is a super-2 number, since 2×456670144061557² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456670144061495 and 456670144061504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456670144062557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228335072030778 + 228335072030779.

It is an arithmetic number, because the mean of its divisors is an integer number (228335072030779).

Almost surely, 2^{456670144061557} is an apocalyptic number.

It is an amenable number.

456670144061557 is a deficient number, since it is larger than the sum of its proper divisors (1).

456670144061557 is an equidigital number, since it uses as much as digits as its factorization.

456670144061557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672000, while the sum is 61.

The spelling of 456670144061557 in words is "four hundred fifty-six trillion, six hundred seventy billion, one hundred forty-four million, sixty-one thousand, five hundred fifty-seven".