1289151326464 has 81 divisors (see below), whose sum is σ = 2666149575817. Its totient is φ = 622094584832.

The previous prime is 1289151326461. The next prime is 1289151326467. The reversal of 1289151326464 is 4646231519821.

The square root of 1289151326464 is 1135408.

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 (1289151326461) and next prime (1289151326467).

It can be written as a sum of positive squares in only one way, i.e., 675999684864 + 613151641600 = 822192^2 + 783040^2 .

It is a super-2 number, since 2×1289151326464² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1289151326461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 526828089 + ... + 526830535.

Almost surely, 2^{1289151326464} is an apocalyptic number.

1289151326464 is the 1135408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1289151326464

1289151326464 is an abundant number, since it is smaller than the sum of its proper divisors (1376998249353).

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

1289151326464 is an frugal number, since it uses more digits than its factorization.

1289151326464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 2478 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The spelling of 1289151326464 in words is "one trillion, two hundred eighty-nine billion, one hundred fifty-one million, three hundred twenty-six thousand, four hundred sixty-four".