534354350105952 has 768 divisors, whose sum is σ = 1667414021898240. Its totient is φ = 166213318809600.

The previous prime is 534354350105923. The next prime is 534354350106023. The reversal of 534354350105952 is 259501053453435.

534354350105952 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 5 + 4 + 35 + 0 + 10 + 595 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38972668377 + ... + 38972682087.

It is an arithmetic number, because the mean of its divisors is an integer number (2171112007680).

Almost surely, 2^{534354350105952} 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 534354350105952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833707010949120).

534354350105952 is an abundant number, since it is smaller than the sum of its proper divisors (1133059671792288).

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

534354350105952 is a wasteful number, since it uses less digits than its factorization.

534354350105952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14264 (or 14250 counting only the distinct ones).

The product of its (nonzero) digits is 24300000, while the sum is 54.

The spelling of 534354350105952 in words is "five hundred thirty-four trillion, three hundred fifty-four billion, three hundred fifty million, one hundred five thousand, nine hundred fifty-two".