14010976161000 has 2048 divisors, whose sum is σ = 63119347200000. Its totient is φ = 2853514137600.

The previous prime is 14010976160989. The next prime is 14010976161089. The reversal of 14010976161000 is 16167901041.

14010976161000 is a `hidden beast` number, since 1 + 401 + 0 + 97 + 6 + 161 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×14010976161000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3491394994 + ... + 3491399006.

It is an arithmetic number, because the mean of its divisors is an integer number (30819993750).

Almost surely, 2^{14010976161000} is an apocalyptic number.

14010976161000 is a gapful number since it is divisible by the number (10) 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 14010976161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31559673600000).

14010976161000 is an abundant number, since it is smaller than the sum of its proper divisors (49108371039000).

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

14010976161000 is a wasteful number, since it uses less digits than its factorization.

14010976161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 14010976161000 in words is "fourteen trillion, ten billion, nine hundred seventy-six million, one hundred sixty-one thousand".