1466632225201 has 48 divisors (see below), whose sum is σ = 1816368785280. Its totient is φ = 1174112755200.

The previous prime is 1466632225199. The next prime is 1466632225217. The reversal of 1466632225201 is 1025222366641.

It is a happy number.

It is not a de Polignac number, because 1466632225201 - 2¹ = 1466632225199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1466632225901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13658361 + ... + 13765321.

It is an arithmetic number, because the mean of its divisors is an integer number (37841016360).

Almost surely, 2^{1466632225201} is an apocalyptic number.

1466632225201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1466632225201 is a deficient number, since it is larger than the sum of its proper divisors (349736560079).

1466632225201 is a wasteful number, since it uses less digits than its factorization.

1466632225201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107398 (or 107387 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 1466632225201 in words is "one trillion, four hundred sixty-six billion, six hundred thirty-two million, two hundred twenty-five thousand, two hundred one".