726253552322112 has 224 divisors, whose sum is σ = 2086168270510080. Its totient is φ = 222241166899200.

The previous prime is 726253552322087. The next prime is 726253552322119. The reversal of 726253552322112 is 211223255352627.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (726253552322119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3652258 + ... + 38286369.

Almost surely, 2^{726253552322112} 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 726253552322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043084135255040).

726253552322112 is an abundant number, since it is smaller than the sum of its proper divisors (1359914718187968).

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

726253552322112 is a wasteful number, since it uses less digits than its factorization.

726253552322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41938809 (or 41938799 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 48.

The spelling of 726253552322112 in words is "seven hundred twenty-six trillion, two hundred fifty-three billion, five hundred fifty-two million, three hundred twenty-two thousand, one hundred twelve".