461352464253164 has 18 divisors (see below), whose sum is σ = 887436248388732. Its totient is φ = 209705665569400.

The previous prime is 461352464253137. The next prime is 461352464253167.

461352464253164 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×461352464253164³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (461352464253167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 476603784902 + ... + 476603785869.

It is an arithmetic number, because the mean of its divisors is an integer number (49302013799374).

Almost surely, 2^{461352464253164} is an apocalyptic number.

461352464253164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461352464253164 is a deficient number, since it is larger than the sum of its proper divisors (426083784135568).

461352464253164 is a wasteful number, since it uses less digits than its factorization.

461352464253164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953207570797 (or 953207570784 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 56.

The spelling of 461352464253164 in words is "four hundred sixty-one trillion, three hundred fifty-two billion, four hundred sixty-four million, two hundred fifty-three thousand, one hundred sixty-four".