10729144147968 has 1008 divisors, whose sum is σ = 34367572721664. Its totient is φ = 3340957777920.

The previous prime is 10729144147927. The next prime is 10729144148029. The reversal of 10729144147968 is 86974144192701.

10729144147968 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 91 + 4 + 414 + 79 + 68 = 666.

It is a super-2 number, since 2×10729144147968² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84481449921 + ... + 84481450047.

It is an arithmetic number, because the mean of its divisors is an integer number (34094814208).

Almost surely, 2^{10729144147968} is an apocalyptic number.

10729144147968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10729144147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17183786360832).

10729144147968 is an abundant number, since it is smaller than the sum of its proper divisors (23638428573696).

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

10729144147968 is an frugal number, since it uses more digits than its factorization.

10729144147968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 10729144147968 in words is "ten trillion, seven hundred twenty-nine billion, one hundred forty-four million, one hundred forty-seven thousand, nine hundred sixty-eight".