649422144 has 224 divisors, whose sum is σ = 2225283840. Its totient is φ = 181868544.

The previous prime is 649422133. The next prime is 649422149. The reversal of 649422144 is 441224946.

It is a happy number.

649422144 is a `hidden beast` number, since 6 + 494 + 22 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×649422144² = 843498242235113472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 649422099 and 649422108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649422149) 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 31 ways as a sum of consecutive naturals, for example, 640582 + ... + 641594.

Almost surely, 2^649422144 is an apocalyptic number.

649422144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112641920).

649422144 is an abundant number, since it is smaller than the sum of its proper divisors (1575861696).

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

649422144 is a wasteful number, since it uses less digits than its factorization.

649422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1078 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 649422144 is about 25483.7623595889. The cubic root of 649422144 is about 865.9823310474.

The spelling of 649422144 in words is "six hundred forty-nine million, four hundred twenty-two thousand, one hundred forty-four".