1005460421661 has 12 divisors (see below), whose sum is σ = 1515476577888. Its totient is φ = 641163167304.

The previous prime is 1005460421657. The next prime is 1005460421677. The reversal of 1005460421661 is 1661240645001.

1005460421661 is a `hidden beast` number, since 1 + 0 + 0 + 546 + 0 + 42 + 16 + 61 = 666.

1005460421661 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005460421661 - 2² = 1005460421657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005460421561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2428648155 + ... + 2428648568.

It is an arithmetic number, because the mean of its divisors is an integer number (126289714824).

Almost surely, 2^{1005460421661} is an apocalyptic number.

It is an amenable number.

1005460421661 is a deficient number, since it is larger than the sum of its proper divisors (510016156227).

1005460421661 is a wasteful number, since it uses less digits than its factorization.

1005460421661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4857296752 (or 4857296749 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1005460421661 in words is "one trillion, five billion, four hundred sixty million, four hundred twenty-one thousand, six hundred sixty-one".