534013473010248 has 576 divisors, whose sum is σ = 1822812303312000. Its totient is φ = 138248292188160.

The previous prime is 534013473010141. The next prime is 534013473010273. The reversal of 534013473010248 is 842010374310435.

It is a happy number.

534013473010248 is a `hidden beast` number, since 5 + 3 + 401 + 34 + 73 + 0 + 102 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23188727598 + ... + 23188750626.

It is an arithmetic number, because the mean of its divisors is an integer number (3164604693250).

Almost surely, 2^{534013473010248} 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 534013473010248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911406151656000).

534013473010248 is an abundant number, since it is smaller than the sum of its proper divisors (1288798830301752).

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

534013473010248 is a wasteful number, since it uses less digits than its factorization.

534013473010248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24306 (or 24288 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 534013473010248 in words is "five hundred thirty-four trillion, thirteen billion, four hundred seventy-three million, ten thousand, two hundred forty-eight".