1458291456961 has 16 divisors (see below), whose sum is σ = 1513304105040. Its totient is φ = 1403595325440.

The previous prime is 1458291456907. The next prime is 1458291456967. The reversal of 1458291456961 is 1696541928541.

It can be written as a sum of positive squares in 8 ways, for example, as 76020966961 + 1382270490000 = 275719^2 + 1175700^2 .

It is a cyclic number.

It is not a de Polignac number, because 1458291456961 - 2¹³ = 1458291448769 is a prime.

It is a super-2 number, since 2×1458291456961² (a number of 25 digits) contains 22 as substring.

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 1458291456961.

It is not an unprimeable number, because it can be changed into a prime (1458291456967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103557441 + ... + 103571521.

It is an arithmetic number, because the mean of its divisors is an integer number (94581506565).

Almost surely, 2^{1458291456961} is an apocalyptic number.

It is an amenable number.

1458291456961 is a deficient number, since it is larger than the sum of its proper divisors (55012648079).

1458291456961 is a wasteful number, since it uses less digits than its factorization.

1458291456961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25044.

The product of its digits is 18662400, while the sum is 61.

The spelling of 1458291456961 in words is "one trillion, four hundred fifty-eight billion, two hundred ninety-one million, four hundred fifty-six thousand, nine hundred sixty-one".