6142461603201 has 81 divisors (see below), whose sum is σ = 11345635318563. Its totient is φ = 3190591736640.

The previous prime is 6142461603169. The next prime is 6142461603227. The reversal of 6142461603201 is 1023061642416.

The square root of 6142461603201 is 2478399.

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

6142461603201 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 4 + 616 + 0 + 32 + 0 + 1 = 666.

6142461603201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4586454843201 + 1556006760000 = 2141601^2 + 1247400^2 .

It is not a de Polignac number, because 6142461603201 - 2⁵ = 6142461603169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6142461603281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 572504805 + ... + 572515533.

Almost surely, 2^{6142461603201} is an apocalyptic number.

6142461603201 is the 2478399-th square number.

6142461603201 is the 1239200-th centered octagonal number.

It is an amenable number.

6142461603201 is a deficient number, since it is larger than the sum of its proper divisors (5203173715362).

6142461603201 is an equidigital number, since it uses as much as digits as its factorization.

6142461603201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21500 (or 10750 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 6142461603201 by its sum of digits (36), we get a square (221128617715236 = 14870394²).

The spelling of 6142461603201 in words is "six trillion, one hundred forty-two billion, four hundred sixty-one million, six hundred three thousand, two hundred one".