10448012016 has 320 divisors, whose sum is σ = 34437795840. Its totient is φ = 3007825920.

The previous prime is 10448011999. The next prime is 10448012017. The reversal of 10448012016 is 61021084401.

It is a happy number.

10448012016 is a `hidden beast` number, since 10 + 448 + 0 + 1 + 201 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10448012017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6070036 + ... + 6071756.

It is an arithmetic number, because the mean of its divisors is an integer number (107618112).

Almost surely, 2^10448012016 is an apocalyptic number.

10448012016 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 10448012016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218897920).

10448012016 is an abundant number, since it is smaller than the sum of its proper divisors (23989783824).

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

10448012016 is a wasteful number, since it uses less digits than its factorization.

10448012016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10448012016 its reverse (61021084401), we get a palindrome (71469096417).

The spelling of 10448012016 in words is "ten billion, four hundred forty-eight million, twelve thousand, sixteen".