1461716460045 has 48 divisors (see below), whose sum is σ = 2586611776320. Its totient is φ = 763386519552.

The previous prime is 1461716460037. The next prime is 1461716460053. The reversal of 1461716460045 is 5400646171641.

1461716460045 is a `hidden beast` number, since 1 + 461 + 71 + 64 + 60 + 0 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1461716460037) and next prime (1461716460053).

It is not a de Polignac number, because 1461716460045 - 2³ = 1461716460037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 388779 + ... + 1753448.

It is an arithmetic number, because the mean of its divisors is an integer number (53887745340).

Almost surely, 2^{1461716460045} is an apocalyptic number.

1461716460045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1461716460045 is a deficient number, since it is larger than the sum of its proper divisors (1124895316275).

1461716460045 is a wasteful number, since it uses less digits than its factorization.

1461716460045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142554 (or 2142551 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1461716460045 in words is "one trillion, four hundred sixty-one billion, seven hundred sixteen million, four hundred sixty thousand, forty-five".