3628820111553 has 288 divisors, whose sum is σ = 6975472358400. Its totient is φ = 1806099482880.

The previous prime is 3628820111549. The next prime is 3628820111593. The reversal of 3628820111553 is 3551110288263.

3628820111553 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 82 + 0 + 1 + 11 + 553 = 666.

3628820111553 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3628820111553 - 2² = 3628820111549 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3628820111499 and 3628820111508.

It is not an unprimeable number, because it can be changed into a prime (3628820111593) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 6707615463 + ... + 6707616003.

Almost surely, 2^{3628820111553} is an apocalyptic number.

It is an amenable number.

3628820111553 is a deficient number, since it is larger than the sum of its proper divisors (3346652246847).

3628820111553 is a wasteful number, since it uses less digits than its factorization.

3628820111553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 3628820111553 in words is "three trillion, six hundred twenty-eight billion, eight hundred twenty million, one hundred eleven thousand, five hundred fifty-three".