450351363153054 has 192 divisors, whose sum is σ = 1059359804112960. Its totient is φ = 127084818432000.

The previous prime is 450351363153001. The next prime is 450351363153101.

450351363153054 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 450351363152994 and 450351363153012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1855979722 + ... + 1856222354.

It is an arithmetic number, because the mean of its divisors is an integer number (5517498979755).

Almost surely, 2^{450351363153054} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450351363153054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529679902056480).

450351363153054 is an abundant number, since it is smaller than the sum of its proper divisors (609008440959906).

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

450351363153054 is a wasteful number, since it uses less digits than its factorization.

450351363153054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244267 (or 244256 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 48.

The spelling of 450351363153054 in words is "four hundred fifty trillion, three hundred fifty-one billion, three hundred sixty-three million, one hundred fifty-three thousand, fifty-four".