10018013634 has 64 divisors (see below), whose sum is σ = 23071910400. Its totient is φ = 3218310144.

The previous prime is 10018013569. The next prime is 10018013647. The reversal of 10018013634 is 43631081001.

10018013634 is a `hidden beast` number, since 1 + 0 + 0 + 18 + 0 + 13 + 634 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10018013598 and 10018013607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898039 + ... + 909125.

It is an arithmetic number, because the mean of its divisors is an integer number (360498600).

Almost surely, 2^10018013634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10018013634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11535955200).

10018013634 is an abundant number, since it is smaller than the sum of its proper divisors (13053896766).

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

10018013634 is a wasteful number, since it uses less digits than its factorization.

10018013634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11704 (or 11698 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10018013634 its reverse (43631081001), we get a palindrome (53649094635).

The spelling of 10018013634 in words is "ten billion, eighteen million, thirteen thousand, six hundred thirty-four".