7414461065664 has 84 divisors (see below), whose sum is σ = 21285266640456. Its totient is φ = 2467643217408.

The previous prime is 7414461065593. The next prime is 7414461065743. The reversal of 7414461065664 is 4665601644147.

7414461065664 is a `hidden beast` number, since 7 + 4 + 14 + 4 + 61 + 0 + 6 + 566 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7414461065664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9639219 + ... + 10379954.

It is an arithmetic number, because the mean of its divisors is an integer number (253396031434).

Almost surely, 2^{7414461065664} is an apocalyptic number.

It is an amenable number.

7414461065664 is an abundant number, since it is smaller than the sum of its proper divisors (13870805574792).

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

7414461065664 is a wasteful number, since it uses less digits than its factorization.

7414461065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20019834 (or 20019821 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 7414461065664 in words is "seven trillion, four hundred fourteen billion, four hundred sixty-one million, sixty-five thousand, six hundred sixty-four".