456150506621629 has 2 divisors, whose sum is σ = 456150506621630. Its totient is φ = 456150506621628.

The previous prime is 456150506621543. The next prime is 456150506621671. The reversal of 456150506621629 is 926126605051654.

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., 440904371184729 + 15246135436900 = 20997723^2 + 3904630^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456150506621629 is a prime.

It is a super-2 number, since 2×456150506621629² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456150506421629) 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, 228075253310814 + 228075253310815.

It is an arithmetic number, because the mean of its divisors is an integer number (228075253310815).

Almost surely, 2^{456150506621629} is an apocalyptic number.

It is an amenable number.

456150506621629 is a deficient number, since it is larger than the sum of its proper divisors (1).

456150506621629 is an equidigital number, since it uses as much as digits as its factorization.

456150506621629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328000, while the sum is 58.

The spelling of 456150506621629 in words is "four hundred fifty-six trillion, one hundred fifty billion, five hundred six million, six hundred twenty-one thousand, six hundred twenty-nine".