906098379664 has 15 divisors (see below), whose sum is σ = 1755572987793. Its totient is φ = 453047286048.

The previous prime is 906098379661. The next prime is 906098379707. The reversal of 906098379664 is 466973890609.

The square root of 906098379664 is 951892.

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

906098379664 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., 9304531600 + 896793848064 = 96460^2 + 946992^2 .

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 906098379664.

It is not an unprimeable number, because it can be changed into a prime (906098379661) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3688582 + ... + 3926554.

Almost surely, 2^906098379664 is an apocalyptic number.

906098379664 is the 951892-nd square number.

It is an amenable number.

906098379664 is a deficient number, since it is larger than the sum of its proper divisors (849474608129).

906098379664 is an frugal number, since it uses more digits than its factorization.

906098379664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475954 (or 237975 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 67.

The spelling of 906098379664 in words is "nine hundred six billion, ninety-eight million, three hundred seventy-nine thousand, six hundred sixty-four".