10446228688896 has 1664 divisors, whose sum is σ = 41850689126400. Its totient is φ = 2486674391040.

The previous prime is 10446228688873. The next prime is 10446228688939. The reversal of 10446228688896 is 69888682264401.

10446228688896 is a `hidden beast` number, since 1 + 0 + 4 + 462 + 2 + 8 + 6 + 88 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21808410385 + ... + 21808410863.

Almost surely, 2^{10446228688896} is an apocalyptic number.

10446228688896 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 10446228688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20925344563200).

10446228688896 is an abundant number, since it is smaller than the sum of its proper divisors (31404460437504).

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

10446228688896 is a wasteful number, since it uses less digits than its factorization.

10446228688896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 10446228688896 in words is "ten trillion, four hundred forty-six billion, two hundred twenty-eight million, six hundred eighty-eight thousand, eight hundred ninety-six".