1745731457460 has 36 divisors (see below), whose sum is σ = 5295385421508. Its totient is φ = 465528388608.

The previous prime is 1745731457389. The next prime is 1745731457507. The reversal of 1745731457460 is 647541375471.

1745731457460 is a `hidden beast` number, since 1 + 7 + 4 + 5 + 7 + 3 + 1 + 4 + 574 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1354923936144 + 390807521316 = 1164012^2 + 625146^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1745731457397 and 1745731457406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4849253869 + ... + 4849254228.

Almost surely, 2^{1745731457460} is an apocalyptic number.

1745731457460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1745731457460 is an abundant number, since it is smaller than the sum of its proper divisors (3549653964048).

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

1745731457460 is a wasteful number, since it uses less digits than its factorization.

1745731457460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9698508112 (or 9698508107 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 1745731457460 in words is "one trillion, seven hundred forty-five billion, seven hundred thirty-one million, four hundred fifty-seven thousand, four hundred sixty".