355087275664 has 135 divisors (see below), whose sum is σ = 784867255081. Its totient is φ = 155503976320.

The previous prime is 355087275661. The next prime is 355087275667. The reversal of 355087275664 is 466572780553.

It is a happy number.

The square root of 355087275664 is 595892.

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

It is an interprime number because it is at equal distance from previous prime (355087275661) and next prime (355087275667).

It can be written as a sum of positive squares in only one way, i.e., 186199154064 + 168888121600 = 431508^2 + 410960^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 355087275599 and 355087275608.

It is not an unprimeable number, because it can be changed into a prime (355087275661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 760357959 + ... + 760358425.

Almost surely, 2^355087275664 is an apocalyptic number.

355087275664 is the 595892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355087275664

355087275664 is an abundant number, since it is smaller than the sum of its proper divisors (429779979417).

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

355087275664 is an equidigital number, since it uses as much as digits as its factorization.

355087275664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 58.

The spelling of 355087275664 in words is "three hundred fifty-five billion, eighty-seven million, two hundred seventy-five thousand, six hundred sixty-four".