4229055654048 has 144 divisors (see below), whose sum is σ = 12504237225480. Its totient is φ = 1354165843968.

The previous prime is 4229055654041. The next prime is 4229055654079. The reversal of 4229055654048 is 8404565509224.

4229055654048 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 0 + 5 + 56 + 540 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4112345963664 + 116709690384 = 2027892^2 + 341628^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4229055653985 and 4229055654003.

It is not an unprimeable number, because it can be changed into a prime (4229055654041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 360186 + ... + 2930502.

Almost surely, 2^{4229055654048} is an apocalyptic number.

4229055654048 is a gapful number since it is divisible by the number (48) 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 4229055654048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6252118612740).

4229055654048 is an abundant number, since it is smaller than the sum of its proper divisors (8275181571432).

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

4229055654048 is a wasteful number, since it uses less digits than its factorization.

4229055654048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570559 (or 2570548 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 4229055654048 in words is "four trillion, two hundred twenty-nine billion, fifty-five million, six hundred fifty-four thousand, forty-eight".