34550055123444 has 144 divisors (see below), whose sum is σ = 105811256468736. Its totient is φ = 9279453772800.

The previous prime is 34550055123439. The next prime is 34550055123497. The reversal of 34550055123444 is 44432155005543.

34550055123444 is a `hidden beast` number, since 3 + 4 + 5 + 50 + 0 + 551 + 2 + 3 + 4 + 44 = 666.

It is a super-2 number, since 2×34550055123444² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34550055123444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1394472 + ... + 8428799.

It is an arithmetic number, because the mean of its divisors is an integer number (734800392144).

Almost surely, 2^{34550055123444} is an apocalyptic number.

34550055123444 is a gapful number since it is divisible by the number (34) 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 34550055123444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52905628234368).

34550055123444 is an abundant number, since it is smaller than the sum of its proper divisors (71261201345292).

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

34550055123444 is a wasteful number, since it uses less digits than its factorization.

34550055123444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824126 (or 9824121 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 34550055123444 in words is "thirty-four trillion, five hundred fifty billion, fifty-five million, one hundred twenty-three thousand, four hundred forty-four".