1466072507214 has 144 divisors (see below), whose sum is σ = 3899596381200. Its totient is φ = 395809763328.

The previous prime is 1466072507209. The next prime is 1466072507239. The reversal of 1466072507214 is 4127052706641.

1466072507214 is a `hidden beast` number, since 1 + 4 + 6 + 60 + 72 + 507 + 2 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1466072507214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6406414 + ... + 6631310.

It is an arithmetic number, because the mean of its divisors is an integer number (27080530425).

Almost surely, 2^{1466072507214} is an apocalyptic number.

1466072507214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1466072507214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949798190600).

1466072507214 is an abundant number, since it is smaller than the sum of its proper divisors (2433523873986).

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

1466072507214 is a wasteful number, since it uses less digits than its factorization.

1466072507214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225327 (or 225317 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1466072507214 in words is "one trillion, four hundred sixty-six billion, seventy-two million, five hundred seven thousand, two hundred fourteen".