8723601091296 has 576 divisors, whose sum is σ = 31545860935680. Its totient is φ = 2224511631360.

The previous prime is 8723601091253. The next prime is 8723601091297. The reversal of 8723601091296 is 6921901063278.

8723601091296 is a `hidden beast` number, since 8 + 7 + 2 + 3 + 601 + 0 + 9 + 1 + 29 + 6 = 666.

It is a super-2 number, since 2×8723601091296² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8723601091297) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1042366600 + ... + 1042374968.

It is an arithmetic number, because the mean of its divisors is an integer number (54767119680).

Almost surely, 2^{8723601091296} 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 8723601091296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772930467840).

8723601091296 is an abundant number, since it is smaller than the sum of its proper divisors (22822259844384).

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

8723601091296 is a wasteful number, since it uses less digits than its factorization.

8723601091296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719 (or 9708 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 8723601091296 in words is "eight trillion, seven hundred twenty-three billion, six hundred one million, ninety-one thousand, two hundred ninety-six".