454664064001 has 48 divisors (see below), whose sum is σ = 560271168000. Its totient is φ = 368755365888.

The previous prime is 454664063957. The next prime is 454664064011. The reversal of 454664064001 is 100460466454.

It is not a de Polignac number, because 454664064001 - 2¹¹ = 454664061953 is a prime.

It is a super-2 number, since 2×454664064001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (454664064011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136575105 + ... + 136578433.

It is an arithmetic number, because the mean of its divisors is an integer number (11672316000).

Almost surely, 2^454664064001 is an apocalyptic number.

It is an amenable number.

454664064001 is a deficient number, since it is larger than the sum of its proper divisors (105607103999).

454664064001 is a wasteful number, since it uses less digits than its factorization.

454664064001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 454664064001 in words is "four hundred fifty-four billion, six hundred sixty-four million, sixty-four thousand, one".