1046281448641 has 81 divisors (see below), whose sum is σ = 1306012461411. Its totient is φ = 837124173600.

The previous prime is 1046281448629. The next prime is 1046281448671. The reversal of 1046281448641 is 1468441826401.

The square root of 1046281448641 is 1022879.

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., 154775362225 + 891506086416 = 393415^2 + 944196^2 .

It is not a de Polignac number, because 1046281448641 - 2²⁹ = 1045744577729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1046281448671) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3364248876 + ... + 3364249186.

Almost surely, 2^{1046281448641} is an apocalyptic number.

1046281448641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1046281448641 is the 1022879-th square number.

1046281448641 is the 511440-th centered octagonal number.

It is an amenable number.

1046281448641 is a deficient number, since it is larger than the sum of its proper divisors (259731012770).

1046281448641 is an equidigital number, since it uses as much as digits as its factorization.

1046281448641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 49.

Multiplying 1046281448641 by its sum of digits (49), we get a square (51267790983409 = 7160153²).

The spelling of 1046281448641 in words is "one trillion, forty-six billion, two hundred eighty-one million, four hundred forty-eight thousand, six hundred forty-one".