454568488114104 has 1440 divisors, whose sum is σ = 1659258813088800. Its totient is φ = 115235374464000.

The previous prime is 454568488114051. The next prime is 454568488114109. The reversal of 454568488114104 is 401411884865454.

454568488114104 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 6 + 8 + 488 + 1 + 141 + 0 + 4 = 666.

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 (454568488114109) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 59898334342 + ... + 59898341930.

It is an arithmetic number, because the mean of its divisors is an integer number (1152263064645).

Almost surely, 2^{454568488114104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454568488114104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829629406544400).

454568488114104 is an abundant number, since it is smaller than the sum of its proper divisors (1204690324974696).

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

454568488114104 is a wasteful number, since it uses less digits than its factorization.

454568488114104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7796 counting only the distinct ones).

The product of its (nonzero) digits is 78643200, while the sum is 63.

The spelling of 454568488114104 in words is "four hundred fifty-four trillion, five hundred sixty-eight billion, four hundred eighty-eight million, one hundred fourteen thousand, one hundred four".