10445563296 has 144 divisors (see below), whose sum is σ = 33994816128. Its totient is φ = 2980339200.

The previous prime is 10445563241. The next prime is 10445563333. The reversal of 10445563296 is 69236554401.

10445563296 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 5 + 5 + 632 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×10445563296³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1651981 + ... + 1658291.

It is an arithmetic number, because the mean of its divisors is an integer number (236075112).

Almost surely, 2^10445563296 is an apocalyptic number.

10445563296 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 10445563296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997408064).

10445563296 is an abundant number, since it is smaller than the sum of its proper divisors (23549252832).

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

10445563296 is a wasteful number, since it uses less digits than its factorization.

10445563296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7155 (or 7144 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 10445563296 in words is "ten billion, four hundred forty-five million, five hundred sixty-three thousand, two hundred ninety-six".