5334445454004 has 84 divisors (see below), whose sum is σ = 13999833923460. Its totient is φ = 1777727036160.

The previous prime is 5334445453993. The next prime is 5334445454027. The reversal of 5334445454004 is 4004545444335.

5334445454004 is a `hidden beast` number, since 53 + 3 + 4 + 4 + 4 + 54 + 540 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5141374851600 + 193070602404 = 2267460^2 + 439398^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12210412 + ... + 12639740.

It is an arithmetic number, because the mean of its divisors is an integer number (166664689565).

Almost surely, 2^{5334445454004} is an apocalyptic number.

5334445454004 is a gapful number since it is divisible by the number (54) 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 5334445454004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999916961730).

5334445454004 is an abundant number, since it is smaller than the sum of its proper divisors (8665388469456).

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

5334445454004 is a wasteful number, since it uses less digits than its factorization.

5334445454004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433612 (or 433595 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

The spelling of 5334445454004 in words is "five trillion, three hundred thirty-four billion, four hundred forty-five million, four hundred fifty-four thousand, four".