4458450319104 has 288 divisors, whose sum is σ = 12822182714880. Its totient is φ = 1371088502784.

The previous prime is 4458450319093. The next prime is 4458450319117. The reversal of 4458450319104 is 4019130548544.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559891827 + ... + 559899789.

It is an arithmetic number, because the mean of its divisors is an integer number (44521467760).

Almost surely, 2^{4458450319104} 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 4458450319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411091357440).

4458450319104 is an abundant number, since it is smaller than the sum of its proper divisors (8363732395776).

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

4458450319104 is a wasteful number, since it uses less digits than its factorization.

4458450319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 4458450319104 in words is "four trillion, four hundred fifty-eight billion, four hundred fifty million, three hundred nineteen thousand, one hundred four".