461545146324 has 36 divisors (see below), whose sum is σ = 1178234896020. Its totient is φ = 152325129600.

The previous prime is 461545146319. The next prime is 461545146353. The reversal of 461545146324 is 423641545164.

461545146324 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 4 + 5 + 1 + 4 + 632 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 342611208900 + 118933937424 = 585330^2 + 344868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 461545146324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63465169 + ... + 63472440.

Almost surely, 2^461545146324 is an apocalyptic number.

It is an amenable number.

461545146324 is an abundant number, since it is smaller than the sum of its proper divisors (716689749696).

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

461545146324 is a wasteful number, since it uses less digits than its factorization.

461545146324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126937720 (or 126937715 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 461545146324 in words is "four hundred sixty-one billion, five hundred forty-five million, one hundred forty-six thousand, three hundred twenty-four".