14116536720 has 480 divisors, whose sum is σ = 56097909504. Its totient is φ = 3136204800.

The previous prime is 14116536691. The next prime is 14116536727. The reversal of 14116536720 is 2763561141.

14116536720 is a `hidden beast` number, since 1 + 4 + 116 + 536 + 7 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14116536727) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17193910 + ... + 17194730.

Almost surely, 2^14116536720 is an apocalyptic number.

14116536720 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 14116536720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28048954752).

14116536720 is an abundant number, since it is smaller than the sum of its proper divisors (41981372784).

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

14116536720 is a wasteful number, since it uses less digits than its factorization.

14116536720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 14116536720 in words is "fourteen billion, one hundred sixteen million, five hundred thirty-six thousand, seven hundred twenty".