1829456425476 has 135 divisors (see below), whose sum is σ = 4822542334533. Its totient is φ = 604762886880.

The previous prime is 1829456425421. The next prime is 1829456425477. The reversal of 1829456425476 is 6745246549281.

The square root of 1829456425476 is 1352574.

It is a perfect power (a square), and thus also a powerful number.

1829456425476 is a `hidden beast` number, since 1 + 8 + 2 + 9 + 4 + 564 + 25 + 47 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 586409819076 + 1243046606400 = 765774^2 + 1114920^2 .

It is not an unprimeable number, because it can be changed into a prime (1829456425477) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3968451886 + ... + 3968452346.

Almost surely, 2^{1829456425476} is an apocalyptic number.

1829456425476 is the 1352574-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1829456425476

1829456425476 is an abundant number, since it is smaller than the sum of its proper divisors (2993085909057).

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

1829456425476 is an frugal number, since it uses more digits than its factorization.

1829456425476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 629 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 1829456425476 in words is "one trillion, eight hundred twenty-nine billion, four hundred fifty-six million, four hundred twenty-five thousand, four hundred seventy-six".