1460830806144 has 112 divisors (see below), whose sum is σ = 4363377530670. Its totient is φ = 486943570944.

The previous prime is 1460830806143. The next prime is 1460830806179. The reversal of 1460830806144 is 4416080380641.

1460830806144 is a `hidden beast` number, since 1 + 4 + 608 + 30 + 8 + 0 + 6 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1403656257600 + 57174548544 = 1184760^2 + 239112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1460830806144.

It is not an unprimeable number, because it can be changed into a prime (1460830806143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7734357 + ... + 7920980.

Almost surely, 2^{1460830806144} is an apocalyptic number.

It is an amenable number.

1460830806144 is an abundant number, since it is smaller than the sum of its proper divisors (2902546724526).

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

1460830806144 is an frugal number, since it uses more digits than its factorization.

1460830806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15655369 (or 15655342 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1460830806144 in words is "one trillion, four hundred sixty billion, eight hundred thirty million, eight hundred six thousand, one hundred forty-four".