1610223950916 has 297 divisors, whose sum is σ = 4930123488381. Its totient is φ = 458830570464.

The previous prime is 1610223950857. The next prime is 1610223950921. The reversal of 1610223950916 is 6190593220161.

The square root of 1610223950916 is 1268946.

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

1610223950916 is a `hidden beast` number, since 1 + 6 + 102 + 2 + 39 + 509 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 875253802500 + 734970148416 = 935550^2 + 857304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 4316954106 + ... + 4316954478.

Almost surely, 2^{1610223950916} is an apocalyptic number.

1610223950916 is the 1268946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610223950916

1610223950916 is an abundant number, since it is smaller than the sum of its proper divisors (3319899537465).

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

1610223950916 is an frugal number, since it uses more digits than its factorization.

1610223950916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1610223950916 in words is "one trillion, six hundred ten billion, two hundred twenty-three million, nine hundred fifty thousand, nine hundred sixteen".