2174338990096 has 135 divisors (see below), whose sum is σ = 5307858608733. Its totient is φ = 859965724800.

The previous prime is 2174338990063. The next prime is 2174338990099. The reversal of 2174338990096 is 6900998334712.

The square root of 2174338990096 is 1474564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 321647779600 + 1852691210496 = 567140^2 + 1361136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2174338990099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 536739271 + ... + 536743321.

Almost surely, 2^{2174338990096} is an apocalyptic number.

2174338990096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2174338990096 is the 1474564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2174338990096

2174338990096 is an abundant number, since it is smaller than the sum of its proper divisors (3133519618637).

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

2174338990096 is an frugal number, since it uses more digits than its factorization.

2174338990096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 61.

The spelling of 2174338990096 in words is "two trillion, one hundred seventy-four billion, three hundred thirty-eight million, nine hundred ninety thousand, ninety-six".