10445410308096 has 585 divisors, whose sum is σ = 32421618485289. Its totient is φ = 3350871244800.

The previous prime is 10445410308089. The next prime is 10445410308097. The reversal of 10445410308096 is 69080301454401.

The square root of 10445410308096 is 3231936.

It is a perfect power (a square), and thus also a powerful number.

10445410308096 is a `hidden beast` number, since 1 + 0 + 4 + 45 + 410 + 30 + 80 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115100061696 + 10330310246400 = 339264^2 + 3214080^2 .

It is not an unprimeable number, because it can be changed into a prime (10445410308097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 57709449126 + ... + 57709449306.

Almost surely, 2^{10445410308096} is an apocalyptic number.

10445410308096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10445410308096 is the 3231936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10445410308096

10445410308096 is an abundant number, since it is smaller than the sum of its proper divisors (21976208177193).

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

10445410308096 is an frugal number, since it uses more digits than its factorization.

10445410308096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10445410308096 in words is "ten trillion, four hundred forty-five billion, four hundred ten million, three hundred eight thousand, ninety-six".