4468714294464 has 112 divisors (see below), whose sum is σ = 15013934310400. Its totient is φ = 1276775509248.

The previous prime is 4468714294463. The next prime is 4468714294483. The reversal of 4468714294464 is 4644924178644.

It is a happy number.

4468714294464 is a `hidden beast` number, since 4 + 4 + 6 + 87 + 1 + 4 + 2 + 94 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4468714294463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184706584 + ... + 184730775.

Almost surely, 2^{4468714294464} is an apocalyptic number.

It is an amenable number.

4468714294464 is an abundant number, since it is smaller than the sum of its proper divisors (10545220015936).

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

4468714294464 is a wasteful number, since it uses less digits than its factorization.

4468714294464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369437387 (or 369437371 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 4468714294464 in words is "four trillion, four hundred sixty-eight billion, seven hundred fourteen million, two hundred ninety-four thousand, four hundred sixty-four".