434809678801 has 27 divisors (see below), whose sum is σ = 456302338203. Its totient is φ = 414314836320.

The previous prime is 434809678799. The next prime is 434809678819. The reversal of 434809678801 is 108876908434.

The square root of 434809678801 is 659401.

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

It can be written as a sum of positive squares in only one way, i.e., 83492680401 + 351316998400 = 288951^2 + 592720^2 .

It is not a de Polignac number, because 434809678801 - 2¹ = 434809678799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434809678301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1819287240 + ... + 1819287478.

Almost surely, 2^434809678801 is an apocalyptic number.

434809678801 is the 659401-st square number.

434809678801 is the 329701-st centered octagonal number.

It is an amenable number.

434809678801 is a deficient number, since it is larger than the sum of its proper divisors (21492659402).

434809678801 is an frugal number, since it uses more digits than its factorization.

434809678801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 434809678801 in words is "four hundred thirty-four billion, eight hundred nine million, six hundred seventy-eight thousand, eight hundred one".