455491359801 has 135 divisors (see below), whose sum is σ = 733070634879. Its totient is φ = 281838657600.

The previous prime is 455491359761. The next prime is 455491359881. The reversal of 455491359801 is 108953194554.

The square root of 455491359801 is 674901.

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

455491359801 is a `hidden beast` number, since 4 + 5 + 5 + 49 + 1 + 3 + 598 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21948126201 + 433543233600 = 148149^2 + 658440^2 .

It is not a de Polignac number, because 455491359801 - 2¹¹ = 455491357753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (455491359881) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7720192510 + ... + 7720192568.

Almost surely, 2^455491359801 is an apocalyptic number.

455491359801 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

455491359801 is the 674901-st square number.

455491359801 is the 337451-st centered octagonal number.

It is an amenable number.

455491359801 is a deficient number, since it is larger than the sum of its proper divisors (277579275078).

455491359801 is an frugal number, since it uses more digits than its factorization.

455491359801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 455491359801 in words is "four hundred fifty-five billion, four hundred ninety-one million, three hundred fifty-nine thousand, eight hundred one".