14151206916 has 288 divisors, whose sum is σ = 47307187200. Its totient is φ = 3455343360.

The previous prime is 14151206899. The next prime is 14151206917. The reversal of 14151206916 is 61960215141.

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 (14151206917) 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, 7319886 + ... + 7321818.

Almost surely, 2^14151206916 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 14151206916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23653593600).

14151206916 is an abundant number, since it is smaller than the sum of its proper divisors (33155980284).

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

14151206916 is a wasteful number, since it uses less digits than its factorization.

14151206916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 14151206916 in words is "fourteen billion, one hundred fifty-one million, two hundred six thousand, nine hundred sixteen".