454161668688 has 480 divisors, whose sum is σ = 1616687001600. Its totient is φ = 119524833792.

The previous prime is 454161668687. The next prime is 454161668689. The reversal of 454161668688 is 886866161454.

454161668688 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 616 + 6 + 8 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (454161668687) and next prime (454161668689).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454161668683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 469659981 + ... + 469660947.

It is an arithmetic number, because the mean of its divisors is an integer number (3368097920).

Almost surely, 2^454161668688 is an apocalyptic number.

454161668688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454161668688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808343500800).

454161668688 is an abundant number, since it is smaller than the sum of its proper divisors (1162525332912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

454161668688 is a wasteful number, since it uses less digits than its factorization.

454161668688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1911 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 454161668688 in words is "four hundred fifty-four billion, one hundred sixty-one million, six hundred sixty-eight thousand, six hundred eighty-eight".