648918144 has 96 divisors (see below), whose sum is σ = 2134117440. Its totient is φ = 185402880.

The previous prime is 648918119. The next prime is 648918157. The reversal of 648918144 is 441819846.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×648918144² = 842189515224809472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 648918144.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32172 + ... + 48299.

It is an arithmetic number, because the mean of its divisors is an integer number (22230390).

Almost surely, 2^648918144 is an apocalyptic number.

648918144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

648918144 is an abundant number, since it is smaller than the sum of its proper divisors (1485199296).

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

648918144 is a wasteful number, since it uses less digits than its factorization.

648918144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80498 (or 80483 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 648918144 is about 25473.8717905229. The cubic root of 648918144 is about 865.7582507863.

The spelling of 648918144 in words is "six hundred forty-eight million, nine hundred eighteen thousand, one hundred forty-four".