461353353164 has 192 divisors, whose sum is σ = 952814016000. Its totient is φ = 193458585600.

The previous prime is 461353353157. The next prime is 461353353173.

It is a happy number.

461353353164 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027512812 + ... + 1027513260.

It is an arithmetic number, because the mean of its divisors is an integer number (4962573000).

Almost surely, 2^461353353164 is an apocalyptic number.

461353353164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461353353164 is an abundant number, since it is smaller than the sum of its proper divisors (491460662836).

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

461353353164 is a wasteful number, since it uses less digits than its factorization.

461353353164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 44.

The spelling of 461353353164 in words is "four hundred sixty-one billion, three hundred fifty-three million, three hundred fifty-three thousand, one hundred sixty-four".