10406160045216 has 192 divisors, whose sum is σ = 32801523834240. Its totient is φ = 3190580305920.

The previous prime is 10406160045121. The next prime is 10406160045263. The reversal of 10406160045216 is 61254006160401.

10406160045216 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 1 + 600 + 45 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1541776 + ... + 4815536.

It is an arithmetic number, because the mean of its divisors is an integer number (170841269970).

Almost surely, 2^{10406160045216} is an apocalyptic number.

10406160045216 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 10406160045216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400761917120).

10406160045216 is an abundant number, since it is smaller than the sum of its proper divisors (22395363789024).

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

10406160045216 is a wasteful number, since it uses less digits than its factorization.

10406160045216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274076 (or 3274062 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10406160045216 in words is "ten trillion, four hundred six billion, one hundred sixty million, forty-five thousand, two hundred sixteen".