359455406116 has 27 divisors (see below), whose sum is σ = 651549240979. Its totient is φ = 173513408768.

The previous prime is 359455406113. The next prime is 359455406159. The reversal of 359455406116 is 611604554953.

The square root of 359455406116 is 599546.

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

It can be written as a sum of positive squares in 4 ways, for example, as 98841072100 + 260614334016 = 314390^2 + 510504^2 .

It is a super-3 number, since 3×359455406116³ (a number of 36 digits) contains 333 as substring.

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 359455406116.

It is not an unprimeable number, because it can be changed into a prime (359455406113) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 34768500 + ... + 34778836.

Almost surely, 2^359455406116 is an apocalyptic number.

359455406116 is the 599546-th square number.

It is an amenable number.

359455406116 is a deficient number, since it is larger than the sum of its proper divisors (292093834863).

359455406116 is an frugal number, since it uses more digits than its factorization.

359455406116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20736 (or 10368 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

Multiplying 359455406116 by its sum of digits (49), we get a square (17613314899684 = 4196822²).

The spelling of 359455406116 in words is "three hundred fifty-nine billion, four hundred fifty-five million, four hundred six thousand, one hundred sixteen".