461306355346000 has 40 divisors (see below), whose sum is σ = 1115438767231464. Its totient is φ = 184522542137600.

The previous prime is 461306355345989. The next prime is 461306355346019. The reversal of 461306355346000 is 643553603164.

It can be written as a sum of positive squares in 4 ways, for example, as 10162298362896 + 451144056983104 = 3187836^2 + 21240152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×461306355346000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115326586837 + ... + 115326590836.

Almost surely, 2^{461306355346000} is an apocalyptic number.

461306355346000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461306355346000 is an abundant number, since it is smaller than the sum of its proper divisors (654132411885464).

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

461306355346000 is a wasteful number, since it uses less digits than its factorization.

461306355346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230653177696 (or 230653177680 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 46.

The spelling of 461306355346000 in words is "four hundred sixty-one trillion, three hundred six billion, three hundred fifty-five million, three hundred forty-six thousand".