454814011201 has 27 divisors (see below), whose sum is σ = 514106306217. Its totient is φ = 402049707840.

The previous prime is 454814011187. The next prime is 454814011229. The reversal of 454814011201 is 102110418454.

The square root of 454814011201 is 674399.

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

It can be written as a sum of positive squares in 4 ways, for example, as 32184001201 + 422630010000 = 179399^2 + 650100^2 .

It is not a de Polignac number, because 454814011201 - 2¹³ = 454814003009 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (454814011291) 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, 274479565 + ... + 274481221.

Almost surely, 2^454814011201 is an apocalyptic number.

454814011201 is the 674399-th square number.

454814011201 is the 337200-th centered octagonal number.

It is an amenable number.

454814011201 is a deficient number, since it is larger than the sum of its proper divisors (59292295016).

454814011201 is an frugal number, since it uses more digits than its factorization.

454814011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

Adding to 454814011201 its reverse (102110418454), we get a palindrome (556924429655).

The spelling of 454814011201 in words is "four hundred fifty-four billion, eight hundred fourteen million, eleven thousand, two hundred one".