1461207110416 has 45 divisors (see below), whose sum is σ = 2845485416991. Its totient is φ = 726907032576.

The previous prime is 1461207110411. The next prime is 1461207110437. The reversal of 1461207110416 is 6140117021641.

The square root of 1461207110416 is 1208804.

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 234252128016 + 1226954982400 = 483996^2 + 1107680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1461207110411) 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, 1126604680 + ... + 1126605976.

Almost surely, 2^{1461207110416} is an apocalyptic number.

1461207110416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1461207110416 is the 1208804-th square number.

It is an amenable number.

1461207110416 is a deficient number, since it is larger than the sum of its proper divisors (1384278306575).

1461207110416 is an frugal number, since it uses more digits than its factorization.

1461207110416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 1461207110416 in words is "one trillion, four hundred sixty-one billion, two hundred seven million, one hundred ten thousand, four hundred sixteen".