2150116363584 has 1344 divisors, whose sum is σ = 8320507453440. Its totient is φ = 535685529600.

The previous prime is 2150116363583. The next prime is 2150116363597. The reversal of 2150116363584 is 4853636110512.

2150116363584 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 1 + 1 + 6 + 3 + 63 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150116363583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1652663734 + ... + 1652665034.

It is an arithmetic number, because the mean of its divisors is an integer number (6190853760).

Almost surely, 2^{2150116363584} is an apocalyptic number.

2150116363584 is a gapful number since it is divisible by the number (24) 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 2150116363584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160253726720).

2150116363584 is an abundant number, since it is smaller than the sum of its proper divisors (6170391089856).

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

2150116363584 is a wasteful number, since it uses less digits than its factorization.

2150116363584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2150116363584 in words is "two trillion, one hundred fifty billion, one hundred sixteen million, three hundred sixty-three thousand, five hundred eighty-four".