4648852588464 has 60 divisors (see below), whose sum is σ = 14868949155216. Its totient is φ = 1328243596416.

The previous prime is 4648852588451. The next prime is 4648852588477.

It is a happy number.

4648852588464 is a `hidden beast` number, since 4 + 6 + 4 + 8 + 85 + 2 + 5 + 88 + 464 = 666.

4648852588464 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4648852588451) and next prime (4648852588477).

It is a super-2 number, since 2×4648852588464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4648852588392 and 4648852588401.

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, 2305977459 + ... + 2305979474.

Almost surely, 2^{4648852588464} is an apocalyptic number.

It is an amenable number.

4648852588464 is an abundant number, since it is smaller than the sum of its proper divisors (10220096566752).

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

4648852588464 is a wasteful number, since it uses less digits than its factorization.

4648852588464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611956954 (or 4611956945 counting only the distinct ones).

The product of its digits is 1887436800, while the sum is 72.

The spelling of 4648852588464 in words is "four trillion, six hundred forty-eight billion, eight hundred fifty-two million, five hundred eighty-eight thousand, four hundred sixty-four".