35350016256 has 81 divisors (see below), whose sum is σ = 101948838901. Its totient is φ = 11780330496.

The previous prime is 35350016227. The next prime is 35350016293. The reversal of 35350016256 is 65261005353.

The square root of 35350016256 is 188016.

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

35350016256 is a `hidden beast` number, since 353 + 50 + 0 + 1 + 6 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28628640000 + 6721376256 = 169200^2 + 81984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35350016256.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9022810 + ... + 9026726.

Almost surely, 2^35350016256 is an apocalyptic number.

35350016256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

35350016256 is the 188016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35350016256

35350016256 is an abundant number, since it is smaller than the sum of its proper divisors (66598822645).

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

35350016256 is an frugal number, since it uses more digits than its factorization.

35350016256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Multiplying 35350016256 by its sum of digits (36), we get a square (1272600585216 = 1128096²).

35350016256 divided by its sum of digits (36) gives a square (981944896 = 31336²).

The spelling of 35350016256 in words is "thirty-five billion, three hundred fifty million, sixteen thousand, two hundred fifty-six".