901117329984 has 189 divisors, whose sum is σ = 2657070228267. Its totient is φ = 291980878848.

The previous prime is 901117329953. The next prime is 901117329989. The reversal of 901117329984 is 489923711109.

The square root of 901117329984 is 949272.

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 151632360000 + 749484969984 = 389400^2 + 865728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 901117329984.

It is not an unprimeable number, because it can be changed into a prime (901117329989) 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 26 ways as a sum of consecutive naturals, for example, 842953002 + ... + 842954070.

Almost surely, 2^901117329984 is an apocalyptic number.

901117329984 is the 949272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901117329984

901117329984 is an abundant number, since it is smaller than the sum of its proper divisors (1755952898283).

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

901117329984 is an equidigital number, since it uses as much as digits as its factorization.

901117329984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 901117329984 in words is "nine hundred one billion, one hundred seventeen million, three hundred twenty-nine thousand, nine hundred eighty-four".