470729954401344 has 189 divisors, whose sum is σ = 1483091616820359. Its totient is φ = 142643705022720.

The previous prime is 470729954401279. The next prime is 470729954401403. The reversal of 470729954401344 is 443104459927074.

It is a happy number.

The square root of 470729954401344 is 21696312.

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

470729954401344 is a `hidden beast` number, since 4 + 7 + 0 + 72 + 9 + 9 + 544 + 0 + 13 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5727785277 + ... + 5727867459.

Almost surely, 2^{470729954401344} is an apocalyptic number.

470729954401344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

470729954401344 is the 21696312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470729954401344

470729954401344 is an abundant number, since it is smaller than the sum of its proper divisors (1012361662419015).

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

470729954401344 is an frugal number, since it uses more digits than its factorization.

470729954401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164406 (or 82199 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 470729954401344 in words is "four hundred seventy trillion, seven hundred twenty-nine billion, nine hundred fifty-four million, four hundred one thousand, three hundred forty-four".