14061196800 has 1080 divisors, whose sum is σ = 60910271136. Its totient is φ = 3086254080.

The previous prime is 14061196789. The next prime is 14061196813. The reversal of 14061196800 is 869116041.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 265305574 + ... + 265305626.

Almost surely, 2^14061196800 is an apocalyptic number.

14061196800 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 14061196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30455135568).

14061196800 is an abundant number, since it is smaller than the sum of its proper divisors (46849074336).

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

14061196800 is a wasteful number, since it uses less digits than its factorization.

14061196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 14061196800 in words is "fourteen billion, sixty-one million, one hundred ninety-six thousand, eight hundred".