2050349065216 has 99 divisors (see below), whose sum is σ = 4247656628241. Its totient is φ = 989182193664.

The previous prime is 2050349065211. The next prime is 2050349065217. The reversal of 2050349065216 is 6125609430502.

The square root of 2050349065216 is 1431904.

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., 1075153314816 + 975195750400 = 1036896^2 + 987520^2 .

It is a super-2 number, since 2×2050349065216² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2050349065211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1328806141 + ... + 1328807683.

Almost surely, 2^{2050349065216} is an apocalyptic number.

2050349065216 is the 1431904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050349065216

2050349065216 is an abundant number, since it is smaller than the sum of its proper divisors (2197307563025).

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

2050349065216 is an frugal number, since it uses more digits than its factorization.

2050349065216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 2050349065216 in words is "two trillion, fifty billion, three hundred forty-nine million, sixty-five thousand, two hundred sixteen".