2171269083648 has 960 divisors, whose sum is σ = 7511762966400. Its totient is φ = 553172336640.

The previous prime is 2171269083517. The next prime is 2171269083661. The reversal of 2171269083648 is 8463809621712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1700288386 + ... + 1700289662.

It is an arithmetic number, because the mean of its divisors is an integer number (7824753090).

Almost surely, 2^{2171269083648} is an apocalyptic number.

2171269083648 is a gapful number since it is divisible by the number (28) 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 2171269083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755881483200).

2171269083648 is an abundant number, since it is smaller than the sum of its proper divisors (5340493882752).

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

2171269083648 is a wasteful number, since it uses less digits than its factorization.

2171269083648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 2171269083648 in words is "two trillion, one hundred seventy-one billion, two hundred sixty-nine million, eighty-three thousand, six hundred forty-eight".