456022050050 has 90 divisors (see below), whose sum is σ = 990016931643. Its totient is φ = 156270196320.

The previous prime is 456022050031. The next prime is 456022050053. The reversal of 456022050050 is 50050220654.

It can be written as a sum of positive squares in 5 ways, for example, as 311104026289 + 144918023761 = 557767^2 + 380681^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=477505.

It is a super-2 number, since 2×456022050050² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456022049995 and 456022050022.

It is not an unprimeable number, because it can be changed into a prime (456022050053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 233976476 + ... + 233978424.

Almost surely, 2^456022050050 is an apocalyptic number.

456022050050 is an abundant number, since it is smaller than the sum of its proper divisors (533994881593).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456022050050 is an frugal number, since it uses more digits than its factorization.

456022050050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 456022050050 in words is "four hundred fifty-six billion, twenty-two million, fifty thousand, fifty".