35004782922256 has 135 divisors (see below), whose sum is σ = 79550874020973. Its totient is φ = 14878300644480.

The previous prime is 35004782922223. The next prime is 35004782922269. The reversal of 35004782922256 is 65222928740053.

The square root of 35004782922256 is 5916484.

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., 21871522890000 + 13133260032256 = 4676700^2 + 3623984^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35004782922197 and 35004782922206.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21701662506 + ... + 21701664118.

Almost surely, 2^{35004782922256} is an apocalyptic number.

35004782922256 is the 5916484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35004782922256

35004782922256 is an abundant number, since it is smaller than the sum of its proper divisors (44546091098717).

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

35004782922256 is an frugal number, since it uses more digits than its factorization.

35004782922256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 35004782922256 in words is "thirty-five trillion, four billion, seven hundred eighty-two million, nine hundred twenty-two thousand, two hundred fifty-six".