1017451481344 has 81 divisors (see below), whose sum is σ = 2123843810809. Its totient is φ = 486429701120.

The previous prime is 1017451481327. The next prime is 1017451481353. The reversal of 1017451481344 is 4431841547101.

The square root of 1017451481344 is 1008688.

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

It can be written as a sum of positive squares in only one way, i.e., 301058521344 + 716392960000 = 548688^2 + 846400^2 .

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 1017451481344.

It is an unprimeable number.

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, 371195814 + ... + 371198554.

Almost surely, 2^{1017451481344} is an apocalyptic number.

1017451481344 is the 1008688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017451481344

1017451481344 is an abundant number, since it is smaller than the sum of its proper divisors (1106392329465).

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

1017451481344 is an frugal number, since it uses more digits than its factorization.

1017451481344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 1017451481344 in words is "one trillion, seventeen billion, four hundred fifty-one million, four hundred eighty-one thousand, three hundred forty-four".