725033253107744 has 384 divisors, whose sum is σ = 1758633019637760. Its totient is φ = 287549290828800.

The previous prime is 725033253107741. The next prime is 725033253107797. The reversal of 725033253107744 is 447701352330527.

It is a super-2 number, since 2×725033253107744² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (725033253107741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12150483029 + ... + 12150542699.

It is an arithmetic number, because the mean of its divisors is an integer number (4579773488640).

Almost surely, 2^{725033253107744} 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 725033253107744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879316509818880).

725033253107744 is an abundant number, since it is smaller than the sum of its proper divisors (1033599766530016).

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

725033253107744 is a wasteful number, since it uses less digits than its factorization.

725033253107744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60404 (or 60396 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 53.

The spelling of 725033253107744 in words is "seven hundred twenty-five trillion, thirty-three billion, two hundred fifty-three million, one hundred seven thousand, seven hundred forty-four".