534842801805312 has 4608 divisors, whose sum is σ = 2287653464678400. Its totient is φ = 121224739553280.

The previous prime is 534842801805269. The next prime is 534842801805329. The reversal of 534842801805312 is 213508108248435.

It is a happy number.

534842801805312 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 4 + 28 + 0 + 1 + 80 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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 383 ways as a sum of consecutive naturals, for example, 1145273665303 + ... + 1145273665769.

It is an arithmetic number, because the mean of its divisors is an integer number (496452574800).

Almost surely, 2^{534842801805312} is an apocalyptic number.

534842801805312 is a gapful number since it is divisible by the number (52) 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 534842801805312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143826732339200).

534842801805312 is an abundant number, since it is smaller than the sum of its proper divisors (1752810662873088).

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

534842801805312 is a wasteful number, since it uses less digits than its factorization.

534842801805312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 534842801805312 in words is "five hundred thirty-four trillion, eight hundred forty-two billion, eight hundred one million, eight hundred five thousand, three hundred twelve".