454214261316348 has 768 divisors, whose sum is σ = 1373632614144000. Its totient is φ = 128620496388096.

The previous prime is 454214261316281. The next prime is 454214261316373. The reversal of 454214261316348 is 843613162412454.

454214261316348 is a `hidden beast` number, since 4 + 5 + 4 + 2 + 1 + 4 + 2 + 613 + 16 + 3 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 454214261316294 and 454214261316303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 121675396290 + ... + 121675400022.

It is an arithmetic number, because the mean of its divisors is an integer number (1788584133000).

Almost surely, 2^{454214261316348} 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 454214261316348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686816307072000).

454214261316348 is an abundant number, since it is smaller than the sum of its proper divisors (919418352827652).

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

454214261316348 is a wasteful number, since it uses less digits than its factorization.

454214261316348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4723 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 454214261316348 in words is "four hundred fifty-four trillion, two hundred fourteen billion, two hundred sixty-one million, three hundred sixteen thousand, three hundred forty-eight".