10110644544 has 448 divisors, whose sum is σ = 37098012672. Its totient is φ = 2344550400.

The previous prime is 10110644539. The next prime is 10110644611. The reversal of 10110644544 is 44544601101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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, 5957104 + ... + 5958800.

It is an arithmetic number, because the mean of its divisors is an integer number (82808064).

Almost surely, 2^10110644544 is an apocalyptic number.

10110644544 is a gapful number since it is divisible by the number (14) 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 10110644544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549006336).

10110644544 is an abundant number, since it is smaller than the sum of its proper divisors (26987368128).

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

10110644544 is a wasteful number, since it uses less digits than its factorization.

10110644544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 10110644544 in words is "ten billion, one hundred ten million, six hundred forty-four thousand, five hundred forty-four".