581334224352 has 96 divisors (see below), whose sum is σ = 1745081823744. Its totient is φ = 165992716800.

The previous prime is 581334224347. The next prime is 581334224377. The reversal of 581334224352 is 253422433185.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822477 + ... + 1356147.

It is an arithmetic number, because the mean of its divisors is an integer number (18177935664).

Almost surely, 2^581334224352 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 581334224352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872540911872).

581334224352 is an abundant number, since it is smaller than the sum of its proper divisors (1163747599392).

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

581334224352 is a wasteful number, since it uses less digits than its factorization.

581334224352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535312 (or 535304 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The spelling of 581334224352 in words is "five hundred eighty-one billion, three hundred thirty-four million, two hundred twenty-four thousand, three hundred fifty-two".