10446210480096 has 1152 divisors, whose sum is σ = 35039925043200. Its totient is φ = 3018161710080.

The previous prime is 10446210480067. The next prime is 10446210480161. The reversal of 10446210480096 is 69008401264401.

10446210480096 is a `hidden beast` number, since 1 + 0 + 4 + 462 + 104 + 80 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23795467845 + ... + 23795468283.

It is an arithmetic number, because the mean of its divisors is an integer number (30416601600).

Almost surely, 2^{10446210480096} is an apocalyptic number.

10446210480096 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 10446210480096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519962521600).

10446210480096 is an abundant number, since it is smaller than the sum of its proper divisors (24593714563104).

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

10446210480096 is a wasteful number, since it uses less digits than its factorization.

10446210480096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10446210480096 in words is "ten trillion, four hundred forty-six billion, two hundred ten million, four hundred eighty thousand, ninety-six".