10014017146672 has 160 divisors (see below), whose sum is σ = 24430359642624. Its totient is φ = 3862793318400.

The previous prime is 10014017146631. The next prime is 10014017146709. The reversal of 10014017146672 is 27664171041001.

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, 229483768 + ... + 229527400.

Almost surely, 2^{10014017146672} 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 10014017146672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12215179821312).

10014017146672 is an abundant number, since it is smaller than the sum of its proper divisors (14416342495952).

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

10014017146672 is a wasteful number, since it uses less digits than its factorization.

10014017146672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45507 (or 45501 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

Adding to 10014017146672 its reverse (27664171041001), we get a palindrome (37678188187673).

The spelling of 10014017146672 in words is "ten trillion, fourteen billion, seventeen million, one hundred forty-six thousand, six hundred seventy-two".