723847821312 has 384 divisors, whose sum is σ = 2429953344000. Its totient is φ = 186138624000.

The previous prime is 723847821293. The next prime is 723847821317. The reversal of 723847821312 is 213128748327.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723847821317) 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, 47774314 + ... + 47789462.

It is an arithmetic number, because the mean of its divisors is an integer number (6328003500).

Almost surely, 2^723847821312 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 723847821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214976672000).

723847821312 is an abundant number, since it is smaller than the sum of its proper divisors (1706105522688).

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

723847821312 is a wasteful number, since it uses less digits than its factorization.

723847821312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15293 (or 15273 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 723847821312 in words is "seven hundred twenty-three billion, eight hundred forty-seven million, eight hundred twenty-one thousand, three hundred twelve".