10116404901688 has 32 divisors (see below), whose sum is σ = 19434208500000. Its totient is φ = 4933991319040.

The previous prime is 10116404901683. The next prime is 10116404901689. The reversal of 10116404901688 is 88610940461101.

10116404901688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116404901683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 694813 + ... + 4551436.

It is an arithmetic number, because the mean of its divisors is an integer number (607319015625).

Almost surely, 2^{10116404901688} is an apocalyptic number.

It is an amenable number.

10116404901688 is a deficient number, since it is larger than the sum of its proper divisors (9317803598312).

10116404901688 is a wasteful number, since it uses less digits than its factorization.

10116404901688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252175 (or 5252171 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

The spelling of 10116404901688 in words is "ten trillion, one hundred sixteen billion, four hundred four million, nine hundred one thousand, six hundred eighty-eight".