723615949056 has 288 divisors, whose sum is σ = 2585791208448. Its totient is φ = 173494149120.

The previous prime is 723615949033. The next prime is 723615949061. The reversal of 723615949056 is 650949516327.

It is a super-2 number, since 2×723615949056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 723615948987 and 723615949005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298135 + ... + 1239401.

It is an arithmetic number, because the mean of its divisors is an integer number (8978441696).

Almost surely, 2^723615949056 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 723615949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292895604224).

723615949056 is an abundant number, since it is smaller than the sum of its proper divisors (1862175259392).

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

723615949056 is a wasteful number, since it uses less digits than its factorization.

723615949056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941317 (or 941303 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 723615949056 in words is "seven hundred twenty-three billion, six hundred fifteen million, nine hundred forty-nine thousand, fifty-six".