6417145960002 has 54 divisors (see below), whose sum is σ = 14252183531001. Its totient is φ = 2086733435040.

The previous prime is 6417145959979. The next prime is 6417145960031. The reversal of 6417145960002 is 2000695417146.

6417145960002 is a `hidden beast` number, since 6 + 41 + 7 + 14 + 596 + 0 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4582857659121 + 1834288300881 = 2140761^2 + 1354359^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1791249.

It is a self number, because there is not a number n which added to its sum of digits gives 6417145960002.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 440639973 + ... + 440654535.

Almost surely, 2^{6417145960002} is an apocalyptic number.

6417145960002 is an abundant number, since it is smaller than the sum of its proper divisors (7835037570999).

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

6417145960002 is an frugal number, since it uses more digits than its factorization.

6417145960002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29216 (or 14609 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 6417145960002 in words is "six trillion, four hundred seventeen billion, one hundred forty-five million, nine hundred sixty thousand, two".