10004145013854 has 160 divisors (see below), whose sum is σ = 23842945390176. Its totient is φ = 3124347033600.

The previous prime is 10004145013799. The next prime is 10004145013859. The reversal of 10004145013854 is 45831054140001.

10004145013854 is a `hidden beast` number, since 10 + 0 + 0 + 414 + 50 + 138 + 54 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004145013859) 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 79 ways as a sum of consecutive naturals, for example, 854976204 + ... + 854987904.

Almost surely, 2^{10004145013854} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004145013854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11921472695088).

10004145013854 is an abundant number, since it is smaller than the sum of its proper divisors (13838800376322).

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

10004145013854 is a wasteful number, since it uses less digits than its factorization.

10004145013854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13112 (or 13103 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 10004145013854 its reverse (45831054140001), we get a palindrome (55835199153855).

The spelling of 10004145013854 in words is "ten trillion, four billion, one hundred forty-five million, thirteen thousand, eight hundred fifty-four".