1801627630656 has 224 divisors, whose sum is σ = 5626588492800. Its totient is φ = 498079217664.

The previous prime is 1801627630643. The next prime is 1801627630667. The reversal of 1801627630656 is 6560367261081.

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

It is a junction number, because it is equal to n+sod(n) for n = 1801627630599 and 1801627630608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6038070 + ... + 6329418.

Almost surely, 2^{1801627630656} is an apocalyptic number.

1801627630656 is a gapful number since it is divisible by the number (16) 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 1801627630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813294246400).

1801627630656 is an abundant number, since it is smaller than the sum of its proper divisors (3824960862144).

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

1801627630656 is a wasteful number, since it uses less digits than its factorization.

1801627630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291521 (or 291511 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 1801627630656 in words is "one trillion, eight hundred one billion, six hundred twenty-seven million, six hundred thirty thousand, six hundred fifty-six".