2164412063016 has 192 divisors, whose sum is σ = 7097035121280. Its totient is φ = 581732720640.

The previous prime is 2164412062979. The next prime is 2164412063081. The reversal of 2164412063016 is 6103602144612.

2164412063016 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 4 + 1 + 2 + 0 + 630 + 16 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17167440 + ... + 17293056.

It is an arithmetic number, because the mean of its divisors is an integer number (36963724590).

Almost surely, 2^{2164412063016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164412063016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548517560640).

2164412063016 is an abundant number, since it is smaller than the sum of its proper divisors (4932623058264).

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

2164412063016 is a wasteful number, since it uses less digits than its factorization.

2164412063016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127664 (or 127657 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2164412063016 in words is "two trillion, one hundred sixty-four billion, four hundred twelve million, sixty-three thousand, sixteen".