35343072560016 has 225 divisors, whose sum is σ = 110775811387329. Its totient is φ = 10873935476352.

The previous prime is 35343072559987. The next prime is 35343072560021. The reversal of 35343072560016 is 61006527034353.

It is a happy number.

The square root of 35343072560016 is 5945004.

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

35343072560016 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 3 + 0 + 7 + 25 + 600 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5228265171600 + 30114807388416 = 2286540^2 + 5487696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2782255521 + ... + 2782268223.

Almost surely, 2^{35343072560016} is an apocalyptic number.

35343072560016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

35343072560016 is the 5945004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35343072560016

35343072560016 is an abundant number, since it is smaller than the sum of its proper divisors (75432738827313).

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

35343072560016 is an frugal number, since it uses more digits than its factorization.

35343072560016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25452 (or 12721 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

Adding to 35343072560016 its reverse (61006527034353), we get a palindrome (96349599594369).

The spelling of 35343072560016 in words is "thirty-five trillion, three hundred forty-three billion, seventy-two million, five hundred sixty thousand, sixteen".