10012444164096 has 256 divisors, whose sum is σ = 29676395450880. Its totient is φ = 2976810270720.

The previous prime is 10012444164053. The next prime is 10012444164109. The reversal of 10012444164096 is 69046144421001.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57223881 + ... + 57398583.

It is an arithmetic number, because the mean of its divisors is an integer number (115923419730).

Almost surely, 2^{10012444164096} is an apocalyptic number.

10012444164096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012444164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14838197725440).

10012444164096 is an abundant number, since it is smaller than the sum of its proper divisors (19663951286784).

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

10012444164096 is an equidigital number, since it uses as much as digits as its factorization.

10012444164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174800 (or 174772 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

Adding to 10012444164096 its reverse (69046144421001), we get a palindrome (79058588585097).

The spelling of 10012444164096 in words is "ten trillion, twelve billion, four hundred forty-four million, one hundred sixty-four thousand, ninety-six".