723612105216 has 1440 divisors, whose sum is σ = 2902589097408. Its totient is φ = 170559406080.

The previous prime is 723612105191. The next prime is 723612105239. The reversal of 723612105216 is 612501216327.

723612105216 is a `hidden beast` number, since 7 + 2 + 3 + 6 + 121 + 0 + 521 + 6 = 666.

It is a super-2 number, since 2×723612105216² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

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, 2357042535 + ... + 2357042841.

Almost surely, 2^723612105216 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 723612105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451294548704).

723612105216 is an abundant number, since it is smaller than the sum of its proper divisors (2178976992192).

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

723612105216 is a wasteful number, since it uses less digits than its factorization.

723612105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Subtracting from 723612105216 its reverse (612501216327), we obtain a square (111110888889 = 333333²).

It can be divided in two parts, 723612 and 105216, that added together give a palindrome (828828).

The spelling of 723612105216 in words is "seven hundred twenty-three billion, six hundred twelve million, one hundred five thousand, two hundred sixteen".