4628675341056 has 288 divisors, whose sum is σ = 13802548953088. Its totient is φ = 1367401512960.

The previous prime is 4628675341039. The next prime is 4628675341099. The reversal of 4628675341056 is 6501435768264.

It is a junction number, because it is equal to n+sod(n) for n = 4628675340987 and 4628675341005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39248130 + ... + 39365886.

Almost surely, 2^{4628675341056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628675341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901274476544).

4628675341056 is an abundant number, since it is smaller than the sum of its proper divisors (9173873612032).

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

4628675341056 is a wasteful number, since it uses less digits than its factorization.

4628675341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117947 (or 117933 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 4628675341056 in words is "four trillion, six hundred twenty-eight billion, six hundred seventy-five million, three hundred forty-one thousand, fifty-six".