10385468136 has 256 divisors, whose sum is σ = 30601612800. Its totient is φ = 3300445440.

The previous prime is 10385468101. The next prime is 10385468143. The reversal of 10385468136 is 63186458301.

10385468136 is a `hidden beast` number, since 103 + 85 + 468 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10385468091 and 10385468100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39488341 + ... + 39488603.

It is an arithmetic number, because the mean of its divisors is an integer number (119537550).

Almost surely, 2^10385468136 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 10385468136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300806400).

10385468136 is an abundant number, since it is smaller than the sum of its proper divisors (20216144664).

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

10385468136 is an equidigital number, since it uses as much as digits as its factorization.

10385468136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10385468136 in words is "ten billion, three hundred eighty-five million, four hundred sixty-eight thousand, one hundred thirty-six".