461381921001 has 27 divisors (see below), whose sum is σ = 669804072613. Its totient is φ = 306043330560.

The previous prime is 461381920991. The next prime is 461381921041. The reversal of 461381921001 is 100129183164.

The square root of 461381921001 is 679251.

It is a perfect power (a square), and thus also a powerful number.

461381921001 is a `hidden beast` number, since 4 + 61 + 381 + 9 + 210 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42224085225 + 419157835776 = 205485^2 + 647424^2 .

It is not a de Polignac number, because 461381921001 - 2¹¹ = 461381918953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461381921041) 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 26 ways as a sum of consecutive naturals, for example, 523702081 + ... + 523702961.

Almost surely, 2^461381921001 is an apocalyptic number.

461381921001 is the 679251-st square number.

461381921001 is the 339626-th centered octagonal number.

It is an amenable number.

461381921001 is a deficient number, since it is larger than the sum of its proper divisors (208422151612).

461381921001 is an frugal number, since it uses more digits than its factorization.

461381921001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 461381921001 by its sum of digits (36), we get a square (16609749156036 = 4075506²).

The spelling of 461381921001 in words is "four hundred sixty-one billion, three hundred eighty-one million, nine hundred twenty-one thousand, one".