469705993201 has 9 divisors (see below), whose sum is σ = 482769914571. Its totient is φ = 456986563992.

The previous prime is 469705993193. The next prime is 469705993231. The reversal of 469705993201 is 102399507964.

It is a happy number.

The square root of 469705993201 is 685351.

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., 420299373025 + 49406620176 = 648305^2 + 222276^2 .

It is not a de Polignac number, because 469705993201 - 2³ = 469705993193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (469705993231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25348726 + ... + 25367248.

It is an arithmetic number, because the mean of its divisors is an integer number (53641101619).

Almost surely, 2^469705993201 is an apocalyptic number.

469705993201 is the 685351-st square number.

469705993201 is the 342676-th centered octagonal number.

It is an amenable number.

469705993201 is a deficient number, since it is larger than the sum of its proper divisors (13063921370).

469705993201 is an frugal number, since it uses more digits than its factorization.

469705993201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37120 (or 18560 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 469705993201 in words is "four hundred sixty-nine billion, seven hundred five million, nine hundred ninety-three thousand, two hundred one".