955295121664 has 243 divisors, whose sum is σ = 2138978863287. Its totient is φ = 425611210752.

The previous prime is 955295121643. The next prime is 955295121691. The reversal of 955295121664 is 466121592559.

The square root of 955295121664 is 977392.

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 3967992064 + 951327129600 = 62992^2 + 975360^2 .

It is a Duffinian number.

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, 7522008769 + ... + 7522008895.

Almost surely, 2^955295121664 is an apocalyptic number.

955295121664 is the 977392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 955295121664

955295121664 is an abundant number, since it is smaller than the sum of its proper divisors (1183683741623).

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

955295121664 is an equidigital number, since it uses as much as digits as its factorization.

955295121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 179 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 55.

The spelling of 955295121664 in words is "nine hundred fifty-five billion, two hundred ninety-five million, one hundred twenty-one thousand, six hundred sixty-four".