457963147961 has 16 divisors (see below), whose sum is σ = 501762574080. Its totient is φ = 414525323520.

The previous prime is 457963147919. The next prime is 457963147969. The reversal of 457963147961 is 169741369754.

It is a de Polignac number, because none of the positive numbers 2^k-457963147961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 457963147894 and 457963147903.

It is not an unprimeable number, because it can be changed into a prime (457963147969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33783761 + ... + 33797313.

It is an arithmetic number, because the mean of its divisors is an integer number (31360160880).

Almost surely, 2^457963147961 is an apocalyptic number.

It is an amenable number.

457963147961 is a deficient number, since it is larger than the sum of its proper divisors (43799426119).

457963147961 is a wasteful number, since it uses less digits than its factorization.

457963147961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26656.

The product of its digits is 34292160, while the sum is 62.

The spelling of 457963147961 in words is "four hundred fifty-seven billion, nine hundred sixty-three million, one hundred forty-seven thousand, nine hundred sixty-one".