1716342469920 has 864 divisors, whose sum is σ = 6730217741520. Its totient is φ = 395866275840.

The previous prime is 1716342469909. The next prime is 1716342469921. The reversal of 1716342469920 is 299642436171.

1716342469920 is a `hidden beast` number, since 1 + 71 + 6 + 3 + 424 + 69 + 92 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 27039198096 + 1689303271824 = 164436^2 + 1299732^2 .

It is a super-2 number, since 2×1716342469920² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1716342469921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1520231916 + ... + 1520233044.

Almost surely, 2^{1716342469920} is an apocalyptic number.

1716342469920 is a gapful number since it is divisible by the number (10) 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 1716342469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365108870760).

1716342469920 is an abundant number, since it is smaller than the sum of its proper divisors (5013875271600).

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

1716342469920 is a wasteful number, since it uses less digits than its factorization.

1716342469920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1716342469920 in words is "one trillion, seven hundred sixteen billion, three hundred forty-two million, four hundred sixty-nine thousand, nine hundred twenty".