10355046516 has 18 divisors (see below), whose sum is σ = 26175256562. Its totient is φ = 3451682160.

The previous prime is 10355046503. The next prime is 10355046523. The reversal of 10355046516 is 61564055301.

10355046516 is a `hidden beast` number, since 10 + 3 + 550 + 46 + 51 + 6 = 666.

10355046516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9279468900 + 1075577616 = 96330^2 + 32796^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×10355046516³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 287640181 = 10355046516 / (1 + 0 + 3 + 5 + 5 + 0 + 4 + 6 + 5 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143820055 + ... + 143820126.

Almost surely, 2^10355046516 is an apocalyptic number.

It is an amenable number.

10355046516 is an abundant number, since it is smaller than the sum of its proper divisors (15820210046).

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

10355046516 is a wasteful number, since it uses less digits than its factorization.

10355046516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287640191 (or 287640186 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10355046516 in words is "ten billion, three hundred fifty-five million, forty-six thousand, five hundred sixteen".